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Finding the Third Proportional to 752,156 and 1,165,161

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Solution

The third proportional to 752,156 and 1,165,161 is: 1,804,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,156 : 1,165,161 = 1,165,161 : x
  2. Step 2: Convert to fraction form
    752,156/1,165,161 = 1,165,161/x
  3. Step 3: Cross multiply
    752,156x = 1,165,161 × 1,165,161
  4. Step 4: Simplify right side
    752,156x = 1,357,600,155,921
  5. Step 5: Solve for x
    x = 1,357,600,155,921/752,156
  6. Step 6: Final answer
    x = 1,804,944.93

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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.