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Finding the Third Proportional to 469,442 and 1,013,704

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Solution

The third proportional to 469,442 and 1,013,704 is: 2,188,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,442 : 1,013,704 = 1,013,704 : x
  2. Step 2: Convert to fraction form
    469,442/1,013,704 = 1,013,704/x
  3. Step 3: Cross multiply
    469,442x = 1,013,704 × 1,013,704
  4. Step 4: Simplify right side
    469,442x = 1,027,595,799,616
  5. Step 5: Solve for x
    x = 1,027,595,799,616/469,442
  6. Step 6: Final answer
    x = 2,188,972.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.