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Finding the Third Proportional to 898,966,246,212 and 1,298,850,984,288

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Solution

The third proportional to 898,966,246,212 and 1,298,850,984,288 is: 1,876,615,375,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,966,246,212 : 1,298,850,984,288 = 1,298,850,984,288 : x
  2. Step 2: Convert to fraction form
    898,966,246,212/1,298,850,984,288 = 1,298,850,984,288/x
  3. Step 3: Cross multiply
    898,966,246,212x = 1,298,850,984,288 × 1,298,850,984,288
  4. Step 4: Simplify right side
    898,966,246,212x = 1,687,013,879,385,906,468,618,240
  5. Step 5: Solve for x
    x = 1,687,013,879,385,906,468,618,240/898,966,246,212
  6. Step 6: Final answer
    x = 1,876,615,375,153.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.