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Finding the Third Proportional to 509,488 and 1,079,663

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Solution

The third proportional to 509,488 and 1,079,663 is: 2,287,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,488 : 1,079,663 = 1,079,663 : x
  2. Step 2: Convert to fraction form
    509,488/1,079,663 = 1,079,663/x
  3. Step 3: Cross multiply
    509,488x = 1,079,663 × 1,079,663
  4. Step 4: Simplify right side
    509,488x = 1,165,672,193,569
  5. Step 5: Solve for x
    x = 1,165,672,193,569/509,488
  6. Step 6: Final answer
    x = 2,287,928.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.