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Finding the Third Proportional to 407,558,478 and 895,182,972

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Solution

The third proportional to 407,558,478 and 895,182,972 is: 1,966,227,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,558,478 : 895,182,972 = 895,182,972 : x
  2. Step 2: Convert to fraction form
    407,558,478/895,182,972 = 895,182,972/x
  3. Step 3: Cross multiply
    407,558,478x = 895,182,972 × 895,182,972
  4. Step 4: Simplify right side
    407,558,478x = 801,352,553,358,752,768
  5. Step 5: Solve for x
    x = 801,352,553,358,752,768/407,558,478
  6. Step 6: Final answer
    x = 1,966,227,171.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.