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Finding the Third Proportional to 641,754,764 and 1,406,538,122

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Solution

The third proportional to 641,754,764 and 1,406,538,122 is: 3,082,718,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,754,764 : 1,406,538,122 = 1,406,538,122 : x
  2. Step 2: Convert to fraction form
    641,754,764/1,406,538,122 = 1,406,538,122/x
  3. Step 3: Cross multiply
    641,754,764x = 1,406,538,122 × 1,406,538,122
  4. Step 4: Simplify right side
    641,754,764x = 1,978,349,488,639,286,784
  5. Step 5: Solve for x
    x = 1,978,349,488,639,286,784/641,754,764
  6. Step 6: Final answer
    x = 3,082,718,819.74

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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.