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Finding the Third Proportional to 775,874 and 1,164,864

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Solution

The third proportional to 775,874 and 1,164,864 is: 1,748,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,874 : 1,164,864 = 1,164,864 : x
  2. Step 2: Convert to fraction form
    775,874/1,164,864 = 1,164,864/x
  3. Step 3: Cross multiply
    775,874x = 1,164,864 × 1,164,864
  4. Step 4: Simplify right side
    775,874x = 1,356,908,138,496
  5. Step 5: Solve for x
    x = 1,356,908,138,496/775,874
  6. Step 6: Final answer
    x = 1,748,876.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.