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Finding the Third Proportional to 509,480 and 1,079,650

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Solution

The third proportional to 509,480 and 1,079,650 is: 2,287,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,480 : 1,079,650 = 1,079,650 : x
  2. Step 2: Convert to fraction form
    509,480/1,079,650 = 1,079,650/x
  3. Step 3: Cross multiply
    509,480x = 1,079,650 × 1,079,650
  4. Step 4: Simplify right side
    509,480x = 1,165,644,122,500
  5. Step 5: Solve for x
    x = 1,165,644,122,500/509,480
  6. Step 6: Final answer
    x = 2,287,909.48

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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.