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Finding the Third Proportional to 542,920 and 1,182,224

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Solution

The third proportional to 542,920 and 1,182,224 is: 2,574,326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,920 : 1,182,224 = 1,182,224 : x
  2. Step 2: Convert to fraction form
    542,920/1,182,224 = 1,182,224/x
  3. Step 3: Cross multiply
    542,920x = 1,182,224 × 1,182,224
  4. Step 4: Simplify right side
    542,920x = 1,397,653,586,176
  5. Step 5: Solve for x
    x = 1,397,653,586,176/542,920
  6. Step 6: Final answer
    x = 2,574,326.95

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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.