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Finding the Third Proportional to 690,768 and 1,542,132

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Solution

The third proportional to 690,768 and 1,542,132 is: 3,442,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,768 : 1,542,132 = 1,542,132 : x
  2. Step 2: Convert to fraction form
    690,768/1,542,132 = 1,542,132/x
  3. Step 3: Cross multiply
    690,768x = 1,542,132 × 1,542,132
  4. Step 4: Simplify right side
    690,768x = 2,378,171,105,424
  5. Step 5: Solve for x
    x = 2,378,171,105,424/690,768
  6. Step 6: Final answer
    x = 3,442,792.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.