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Finding the Third Proportional to 3,866,418 and 5,681,241

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Solution

The third proportional to 3,866,418 and 5,681,241 is: 8,347,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866,418 : 5,681,241 = 5,681,241 : x
  2. Step 2: Convert to fraction form
    3,866,418/5,681,241 = 5,681,241/x
  3. Step 3: Cross multiply
    3,866,418x = 5,681,241 × 5,681,241
  4. Step 4: Simplify right side
    3,866,418x = 32,276,499,300,081
  5. Step 5: Solve for x
    x = 32,276,499,300,081/3,866,418
  6. Step 6: Final answer
    x = 8,347,907.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.