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Finding the Third Proportional to 752,011 and 1,134,395

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Solution

The third proportional to 752,011 and 1,134,395 is: 1,711,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,011 : 1,134,395 = 1,134,395 : x
  2. Step 2: Convert to fraction form
    752,011/1,134,395 = 1,134,395/x
  3. Step 3: Cross multiply
    752,011x = 1,134,395 × 1,134,395
  4. Step 4: Simplify right side
    752,011x = 1,286,852,016,025
  5. Step 5: Solve for x
    x = 1,286,852,016,025/752,011
  6. Step 6: Final answer
    x = 1,711,214.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.