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Finding the Third Proportional to 752,764 and 1,657,160

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Solution

The third proportional to 752,764 and 1,657,160 is: 3,648,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,764 : 1,657,160 = 1,657,160 : x
  2. Step 2: Convert to fraction form
    752,764/1,657,160 = 1,657,160/x
  3. Step 3: Cross multiply
    752,764x = 1,657,160 × 1,657,160
  4. Step 4: Simplify right side
    752,764x = 2,746,179,265,600
  5. Step 5: Solve for x
    x = 2,746,179,265,600/752,764
  6. Step 6: Final answer
    x = 3,648,127.79

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Why These Related Problems?

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