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Finding the Third Proportional to 3,985,769 and 6,188,646

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Solution

The third proportional to 3,985,769 and 6,188,646 is: 9,609,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985,769 : 6,188,646 = 6,188,646 : x
  2. Step 2: Convert to fraction form
    3,985,769/6,188,646 = 6,188,646/x
  3. Step 3: Cross multiply
    3,985,769x = 6,188,646 × 6,188,646
  4. Step 4: Simplify right side
    3,985,769x = 38,299,339,313,316
  5. Step 5: Solve for x
    x = 38,299,339,313,316/3,985,769
  6. Step 6: Final answer
    x = 9,609,021.32

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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.