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Finding the Third Proportional to 484,491,105 and 1,062,780,730

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Solution

The third proportional to 484,491,105 and 1,062,780,730 is: 2,331,318,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,491,105 : 1,062,780,730 = 1,062,780,730 : x
  2. Step 2: Convert to fraction form
    484,491,105/1,062,780,730 = 1,062,780,730/x
  3. Step 3: Cross multiply
    484,491,105x = 1,062,780,730 × 1,062,780,730
  4. Step 4: Simplify right side
    484,491,105x = 1,129,502,880,059,332,864
  5. Step 5: Solve for x
    x = 1,129,502,880,059,332,864/484,491,105
  6. Step 6: Final answer
    x = 2,331,318,095.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.