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Finding the Third Proportional to 752,064 and 1,234,569

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Solution

The third proportional to 752,064 and 1,234,569 is: 2,026,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,064 : 1,234,569 = 1,234,569 : x
  2. Step 2: Convert to fraction form
    752,064/1,234,569 = 1,234,569/x
  3. Step 3: Cross multiply
    752,064x = 1,234,569 × 1,234,569
  4. Step 4: Simplify right side
    752,064x = 1,524,160,615,761
  5. Step 5: Solve for x
    x = 1,524,160,615,761/752,064
  6. Step 6: Final answer
    x = 2,026,636.85

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.