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Finding the Third Proportional to 2,191,572 and 3,211,542

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Solution

The third proportional to 2,191,572 and 3,211,542 is: 4,706,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,572 : 3,211,542 = 3,211,542 : x
  2. Step 2: Convert to fraction form
    2,191,572/3,211,542 = 3,211,542/x
  3. Step 3: Cross multiply
    2,191,572x = 3,211,542 × 3,211,542
  4. Step 4: Simplify right side
    2,191,572x = 10,314,002,017,764
  5. Step 5: Solve for x
    x = 10,314,002,017,764/2,191,572
  6. Step 6: Final answer
    x = 4,706,211.80

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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.