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Finding the Third Proportional to 3,609,909 and 5,415,643

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Solution

The third proportional to 3,609,909 and 5,415,643 is: 8,124,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609,909 : 5,415,643 = 5,415,643 : x
  2. Step 2: Convert to fraction form
    3,609,909/5,415,643 = 5,415,643/x
  3. Step 3: Cross multiply
    3,609,909x = 5,415,643 × 5,415,643
  4. Step 4: Simplify right side
    3,609,909x = 29,329,189,103,449
  5. Step 5: Solve for x
    x = 29,329,189,103,449/3,609,909
  6. Step 6: Final answer
    x = 8,124,633.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.