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Finding the Third Proportional to 542,921 and 1,182,226

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Solution

The third proportional to 542,921 and 1,182,226 is: 2,574,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,921 : 1,182,226 = 1,182,226 : x
  2. Step 2: Convert to fraction form
    542,921/1,182,226 = 1,182,226/x
  3. Step 3: Cross multiply
    542,921x = 1,182,226 × 1,182,226
  4. Step 4: Simplify right side
    542,921x = 1,397,658,315,076
  5. Step 5: Solve for x
    x = 1,397,658,315,076/542,921
  6. Step 6: Final answer
    x = 2,574,330.92

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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.