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Finding the Third Proportional to 407,558,394 and 895,182,714

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Solution

The third proportional to 407,558,394 and 895,182,714 is: 1,966,226,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,558,394 : 895,182,714 = 895,182,714 : x
  2. Step 2: Convert to fraction form
    407,558,394/895,182,714 = 895,182,714/x
  3. Step 3: Cross multiply
    407,558,394x = 895,182,714 × 895,182,714
  4. Step 4: Simplify right side
    407,558,394x = 801,352,091,444,405,760
  5. Step 5: Solve for x
    x = 801,352,091,444,405,760/407,558,394
  6. Step 6: Final answer
    x = 1,966,226,443.23

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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.