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Finding the Third Proportional to 800,557 and 1,217,332

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Solution

The third proportional to 800,557 and 1,217,332 is: 1,851,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,557 : 1,217,332 = 1,217,332 : x
  2. Step 2: Convert to fraction form
    800,557/1,217,332 = 1,217,332/x
  3. Step 3: Cross multiply
    800,557x = 1,217,332 × 1,217,332
  4. Step 4: Simplify right side
    800,557x = 1,481,897,198,224
  5. Step 5: Solve for x
    x = 1,481,897,198,224/800,557
  6. Step 6: Final answer
    x = 1,851,082.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.