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Finding the Third Proportional to 542,382 and 1,179,900

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Solution

The third proportional to 542,382 and 1,179,900 is: 2,566,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,382 : 1,179,900 = 1,179,900 : x
  2. Step 2: Convert to fraction form
    542,382/1,179,900 = 1,179,900/x
  3. Step 3: Cross multiply
    542,382x = 1,179,900 × 1,179,900
  4. Step 4: Simplify right side
    542,382x = 1,392,164,010,000
  5. Step 5: Solve for x
    x = 1,392,164,010,000/542,382
  6. Step 6: Final answer
    x = 2,566,759.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.