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Finding the Third Proportional to 4,103,941 and 6,132,942

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Solution

The third proportional to 4,103,941 and 6,132,942 is: 9,165,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103,941 : 6,132,942 = 6,132,942 : x
  2. Step 2: Convert to fraction form
    4,103,941/6,132,942 = 6,132,942/x
  3. Step 3: Cross multiply
    4,103,941x = 6,132,942 × 6,132,942
  4. Step 4: Simplify right side
    4,103,941x = 37,612,977,575,364
  5. Step 5: Solve for x
    x = 37,612,977,575,364/4,103,941
  6. Step 6: Final answer
    x = 9,165,087.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.