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Finding the Third Proportional to 505,357 and 1,098,068

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Solution

The third proportional to 505,357 and 1,098,068 is: 2,385,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,357 : 1,098,068 = 1,098,068 : x
  2. Step 2: Convert to fraction form
    505,357/1,098,068 = 1,098,068/x
  3. Step 3: Cross multiply
    505,357x = 1,098,068 × 1,098,068
  4. Step 4: Simplify right side
    505,357x = 1,205,753,332,624
  5. Step 5: Solve for x
    x = 1,205,753,332,624/505,357
  6. Step 6: Final answer
    x = 2,385,943.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.