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Finding the Third Proportional to 542,914 and 1,180,370

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Solution

The third proportional to 542,914 and 1,180,370 is: 2,566,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,914 : 1,180,370 = 1,180,370 : x
  2. Step 2: Convert to fraction form
    542,914/1,180,370 = 1,180,370/x
  3. Step 3: Cross multiply
    542,914x = 1,180,370 × 1,180,370
  4. Step 4: Simplify right side
    542,914x = 1,393,273,336,900
  5. Step 5: Solve for x
    x = 1,393,273,336,900/542,914
  6. Step 6: Final answer
    x = 2,566,287.36

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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.