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Finding the Third Proportional to 407,558,470 and 895,182,956

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Solution

The third proportional to 407,558,470 and 895,182,956 is: 1,966,227,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,558,470 : 895,182,956 = 895,182,956 : x
  2. Step 2: Convert to fraction form
    407,558,470/895,182,956 = 895,182,956/x
  3. Step 3: Cross multiply
    407,558,470x = 895,182,956 × 895,182,956
  4. Step 4: Simplify right side
    407,558,470x = 801,352,524,712,897,920
  5. Step 5: Solve for x
    x = 801,352,524,712,897,920/407,558,470
  6. Step 6: Final answer
    x = 1,966,227,139.66

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Why These Related Problems?

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