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Finding the Third Proportional to 927,794 and 1,436,581

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Solution

The third proportional to 927,794 and 1,436,581 is: 2,224,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,794 : 1,436,581 = 1,436,581 : x
  2. Step 2: Convert to fraction form
    927,794/1,436,581 = 1,436,581/x
  3. Step 3: Cross multiply
    927,794x = 1,436,581 × 1,436,581
  4. Step 4: Simplify right side
    927,794x = 2,063,764,969,561
  5. Step 5: Solve for x
    x = 2,063,764,969,561/927,794
  6. Step 6: Final answer
    x = 2,224,378.44

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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.