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Finding the Third Proportional to 951,864 and 1,473,880

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Solution

The third proportional to 951,864 and 1,473,880 is: 2,282,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,864 : 1,473,880 = 1,473,880 : x
  2. Step 2: Convert to fraction form
    951,864/1,473,880 = 1,473,880/x
  3. Step 3: Cross multiply
    951,864x = 1,473,880 × 1,473,880
  4. Step 4: Simplify right side
    951,864x = 2,172,322,254,400
  5. Step 5: Solve for x
    x = 2,172,322,254,400/951,864
  6. Step 6: Final answer
    x = 2,282,177.13

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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.