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Finding the Third Proportional to 542,424 and 1,181,283

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Solution

The third proportional to 542,424 and 1,181,283 is: 2,572,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,424 : 1,181,283 = 1,181,283 : x
  2. Step 2: Convert to fraction form
    542,424/1,181,283 = 1,181,283/x
  3. Step 3: Cross multiply
    542,424x = 1,181,283 × 1,181,283
  4. Step 4: Simplify right side
    542,424x = 1,395,429,526,089
  5. Step 5: Solve for x
    x = 1,395,429,526,089/542,424
  6. Step 6: Final answer
    x = 2,572,580.72

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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.