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Finding the Third Proportional to 757,524 and 1,657,569

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Solution

The third proportional to 757,524 and 1,657,569 is: 3,626,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,524 : 1,657,569 = 1,657,569 : x
  2. Step 2: Convert to fraction form
    757,524/1,657,569 = 1,657,569/x
  3. Step 3: Cross multiply
    757,524x = 1,657,569 × 1,657,569
  4. Step 4: Simplify right side
    757,524x = 2,747,534,989,761
  5. Step 5: Solve for x
    x = 2,747,534,989,761/757,524
  6. Step 6: Final answer
    x = 3,626,993.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.