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Finding the Third Proportional to 545,806 and 781,569

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Solution

The third proportional to 545,806 and 781,569 is: 1,119,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,806 : 781,569 = 781,569 : x
  2. Step 2: Convert to fraction form
    545,806/781,569 = 781,569/x
  3. Step 3: Cross multiply
    545,806x = 781,569 × 781,569
  4. Step 4: Simplify right side
    545,806x = 610,850,101,761
  5. Step 5: Solve for x
    x = 610,850,101,761/545,806
  6. Step 6: Final answer
    x = 1,119,170.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.