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Finding the Third Proportional to 417,125,874 and 631,057,410

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Solution

The third proportional to 417,125,874 and 631,057,410 is: 954,708,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,125,874 : 631,057,410 = 631,057,410 : x
  2. Step 2: Convert to fraction form
    417,125,874/631,057,410 = 631,057,410/x
  3. Step 3: Cross multiply
    417,125,874x = 631,057,410 × 631,057,410
  4. Step 4: Simplify right side
    417,125,874x = 398,233,454,715,908,096
  5. Step 5: Solve for x
    x = 398,233,454,715,908,096/417,125,874
  6. Step 6: Final answer
    x = 954,708,109.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.