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Finding the Third Proportional to 3,408,017 and 7,294,774

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Solution

The third proportional to 3,408,017 and 7,294,774 is: 15,614,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408,017 : 7,294,774 = 7,294,774 : x
  2. Step 2: Convert to fraction form
    3,408,017/7,294,774 = 7,294,774/x
  3. Step 3: Cross multiply
    3,408,017x = 7,294,774 × 7,294,774
  4. Step 4: Simplify right side
    3,408,017x = 53,213,727,711,076
  5. Step 5: Solve for x
    x = 53,213,727,711,076/3,408,017
  6. Step 6: Final answer
    x = 15,614,278.83

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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.