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Finding the Third Proportional to 3,488,736 and 7,723,584

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Solution

The third proportional to 3,488,736 and 7,723,584 is: 17,098,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488,736 : 7,723,584 = 7,723,584 : x
  2. Step 2: Convert to fraction form
    3,488,736/7,723,584 = 7,723,584/x
  3. Step 3: Cross multiply
    3,488,736x = 7,723,584 × 7,723,584
  4. Step 4: Simplify right side
    3,488,736x = 59,653,749,805,056
  5. Step 5: Solve for x
    x = 59,653,749,805,056/3,488,736
  6. Step 6: Final answer
    x = 17,098,957.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.