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Finding the Third Proportional to 542,810 and 1,157,758

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Solution

The third proportional to 542,810 and 1,157,758 is: 2,469,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,810 : 1,157,758 = 1,157,758 : x
  2. Step 2: Convert to fraction form
    542,810/1,157,758 = 1,157,758/x
  3. Step 3: Cross multiply
    542,810x = 1,157,758 × 1,157,758
  4. Step 4: Simplify right side
    542,810x = 1,340,403,586,564
  5. Step 5: Solve for x
    x = 1,340,403,586,564/542,810
  6. Step 6: Final answer
    x = 2,469,378.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.