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Finding the Third Proportional to 504,314 and 1,092,680

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Solution

The third proportional to 504,314 and 1,092,680 is: 2,367,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,314 : 1,092,680 = 1,092,680 : x
  2. Step 2: Convert to fraction form
    504,314/1,092,680 = 1,092,680/x
  3. Step 3: Cross multiply
    504,314x = 1,092,680 × 1,092,680
  4. Step 4: Simplify right side
    504,314x = 1,193,949,582,400
  5. Step 5: Solve for x
    x = 1,193,949,582,400/504,314
  6. Step 6: Final answer
    x = 2,367,472.61

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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.