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Finding the Third Proportional to 2,031,741 and 2,986,920

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Solution

The third proportional to 2,031,741 and 2,986,920 is: 4,391,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,741 : 2,986,920 = 2,986,920 : x
  2. Step 2: Convert to fraction form
    2,031,741/2,986,920 = 2,986,920/x
  3. Step 3: Cross multiply
    2,031,741x = 2,986,920 × 2,986,920
  4. Step 4: Simplify right side
    2,031,741x = 8,921,691,086,400
  5. Step 5: Solve for x
    x = 8,921,691,086,400/2,031,741
  6. Step 6: Final answer
    x = 4,391,155.71

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