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Finding the Third Proportional to 690,384 and 1,541,472

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Solution

The third proportional to 690,384 and 1,541,472 is: 3,441,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,384 : 1,541,472 = 1,541,472 : x
  2. Step 2: Convert to fraction form
    690,384/1,541,472 = 1,541,472/x
  3. Step 3: Cross multiply
    690,384x = 1,541,472 × 1,541,472
  4. Step 4: Simplify right side
    690,384x = 2,376,135,926,784
  5. Step 5: Solve for x
    x = 2,376,135,926,784/690,384
  6. Step 6: Final answer
    x = 3,441,759.84

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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.