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Finding the Third Proportional to 591,347 and 926,582

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Solution

The third proportional to 591,347 and 926,582 is: 1,451,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,347 : 926,582 = 926,582 : x
  2. Step 2: Convert to fraction form
    591,347/926,582 = 926,582/x
  3. Step 3: Cross multiply
    591,347x = 926,582 × 926,582
  4. Step 4: Simplify right side
    591,347x = 858,554,202,724
  5. Step 5: Solve for x
    x = 858,554,202,724/591,347
  6. Step 6: Final answer
    x = 1,451,861.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.