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Finding the Third Proportional to 512,496 and 1,103,724

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Solution

The third proportional to 512,496 and 1,103,724 is: 2,377,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,496 : 1,103,724 = 1,103,724 : x
  2. Step 2: Convert to fraction form
    512,496/1,103,724 = 1,103,724/x
  3. Step 3: Cross multiply
    512,496x = 1,103,724 × 1,103,724
  4. Step 4: Simplify right side
    512,496x = 1,218,206,668,176
  5. Step 5: Solve for x
    x = 1,218,206,668,176/512,496
  6. Step 6: Final answer
    x = 2,377,007.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.