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Finding the Third Proportional to 482,928 and 1,061,472

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Solution

The third proportional to 482,928 and 1,061,472 is: 2,333,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,928 : 1,061,472 = 1,061,472 : x
  2. Step 2: Convert to fraction form
    482,928/1,061,472 = 1,061,472/x
  3. Step 3: Cross multiply
    482,928x = 1,061,472 × 1,061,472
  4. Step 4: Simplify right side
    482,928x = 1,126,722,806,784
  5. Step 5: Solve for x
    x = 1,126,722,806,784/482,928
  6. Step 6: Final answer
    x = 2,333,107.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.