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Finding the Third Proportional to 927,778 and 1,433,571

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Solution

The third proportional to 927,778 and 1,433,571 is: 2,215,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,778 : 1,433,571 = 1,433,571 : x
  2. Step 2: Convert to fraction form
    927,778/1,433,571 = 1,433,571/x
  3. Step 3: Cross multiply
    927,778x = 1,433,571 × 1,433,571
  4. Step 4: Simplify right side
    927,778x = 2,055,125,812,041
  5. Step 5: Solve for x
    x = 2,055,125,812,041/927,778
  6. Step 6: Final answer
    x = 2,215,105.14

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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.