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Finding the Third Proportional to 596,316,806 and 1,275,538,394

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Solution

The third proportional to 596,316,806 and 1,275,538,394 is: 2,728,412,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,316,806 : 1,275,538,394 = 1,275,538,394 : x
  2. Step 2: Convert to fraction form
    596,316,806/1,275,538,394 = 1,275,538,394/x
  3. Step 3: Cross multiply
    596,316,806x = 1,275,538,394 × 1,275,538,394
  4. Step 4: Simplify right side
    596,316,806x = 1,626,998,194,568,099,328
  5. Step 5: Solve for x
    x = 1,626,998,194,568,099,328/596,316,806
  6. Step 6: Final answer
    x = 2,728,412,444.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.