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Finding the Third Proportional to 752,274 and 1,165,320

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Solution

The third proportional to 752,274 and 1,165,320 is: 1,805,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,274 : 1,165,320 = 1,165,320 : x
  2. Step 2: Convert to fraction form
    752,274/1,165,320 = 1,165,320/x
  3. Step 3: Cross multiply
    752,274x = 1,165,320 × 1,165,320
  4. Step 4: Simplify right side
    752,274x = 1,357,970,702,400
  5. Step 5: Solve for x
    x = 1,357,970,702,400/752,274
  6. Step 6: Final answer
    x = 1,805,154.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.