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Finding the Third Proportional to 752,364 and 1,165,482

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Solution

The third proportional to 752,364 and 1,165,482 is: 1,805,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,364 : 1,165,482 = 1,165,482 : x
  2. Step 2: Convert to fraction form
    752,364/1,165,482 = 1,165,482/x
  3. Step 3: Cross multiply
    752,364x = 1,165,482 × 1,165,482
  4. Step 4: Simplify right side
    752,364x = 1,358,348,292,324
  5. Step 5: Solve for x
    x = 1,358,348,292,324/752,364
  6. Step 6: Final answer
    x = 1,805,440.31

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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.