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Finding the Third Proportional to 542,822 and 1,160,187

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Solution

The third proportional to 542,822 and 1,160,187 is: 2,479,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,822 : 1,160,187 = 1,160,187 : x
  2. Step 2: Convert to fraction form
    542,822/1,160,187 = 1,160,187/x
  3. Step 3: Cross multiply
    542,822x = 1,160,187 × 1,160,187
  4. Step 4: Simplify right side
    542,822x = 1,346,033,874,969
  5. Step 5: Solve for x
    x = 1,346,033,874,969/542,822
  6. Step 6: Final answer
    x = 2,479,696.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.