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Finding the Third Proportional to 684,542 and 1,059,982

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Solution

The third proportional to 684,542 and 1,059,982 is: 1,641,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,542 : 1,059,982 = 1,059,982 : x
  2. Step 2: Convert to fraction form
    684,542/1,059,982 = 1,059,982/x
  3. Step 3: Cross multiply
    684,542x = 1,059,982 × 1,059,982
  4. Step 4: Simplify right side
    684,542x = 1,123,561,840,324
  5. Step 5: Solve for x
    x = 1,123,561,840,324/684,542
  6. Step 6: Final answer
    x = 1,641,333.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.