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Finding the Third Proportional to 609,545,698 and 1,335,543,496

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Solution

The third proportional to 609,545,698 and 1,335,543,496 is: 2,926,239,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,545,698 : 1,335,543,496 = 1,335,543,496 : x
  2. Step 2: Convert to fraction form
    609,545,698/1,335,543,496 = 1,335,543,496/x
  3. Step 3: Cross multiply
    609,545,698x = 1,335,543,496 × 1,335,543,496
  4. Step 4: Simplify right side
    609,545,698x = 1,783,676,429,707,901,952
  5. Step 5: Solve for x
    x = 1,783,676,429,707,901,952/609,545,698
  6. Step 6: Final answer
    x = 2,926,239,058.96

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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.