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Finding the Third Proportional to 239,470,364 and 517,260,856

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Solution

The third proportional to 239,470,364 and 517,260,856 is: 1,117,293,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,470,364 : 517,260,856 = 517,260,856 : x
  2. Step 2: Convert to fraction form
    239,470,364/517,260,856 = 517,260,856/x
  3. Step 3: Cross multiply
    239,470,364x = 517,260,856 × 517,260,856
  4. Step 4: Simplify right side
    239,470,364x = 267,558,793,149,852,736
  5. Step 5: Solve for x
    x = 267,558,793,149,852,736/239,470,364
  6. Step 6: Final answer
    x = 1,117,293,967.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.