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Finding the Third Proportional to 544,284,187.88 and 840,492,029.81

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Solution

The third proportional to 544,284,187.88 and 840,492,029.81 is: 1,297,900,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,284,187.88 : 840,492,029.81 = 840,492,029.81 : x
  2. Step 2: Convert to fraction form
    544,284,187.88/840,492,029.81 = 840,492,029.81/x
  3. Step 3: Cross multiply
    544,284,187.88x = 840,492,029.81 × 840,492,029.81
  4. Step 4: Simplify right side
    544,284,187.88x = 706,426,852,178,336,384
  5. Step 5: Solve for x
    x = 706,426,852,178,336,384/544,284,187.88
  6. Step 6: Final answer
    x = 1,297,900,743.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.