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Finding the Third Proportional to 4,031,774 and 6,242,672

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Solution

The third proportional to 4,031,774 and 6,242,672 is: 9,665,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031,774 : 6,242,672 = 6,242,672 : x
  2. Step 2: Convert to fraction form
    4,031,774/6,242,672 = 6,242,672/x
  3. Step 3: Cross multiply
    4,031,774x = 6,242,672 × 6,242,672
  4. Step 4: Simplify right side
    4,031,774x = 38,970,953,699,584
  5. Step 5: Solve for x
    x = 38,970,953,699,584/4,031,774
  6. Step 6: Final answer
    x = 9,665,956.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.