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Finding the Third Proportional to 542,655 and 1,181,742

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Solution

The third proportional to 542,655 and 1,181,742 is: 2,573,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,655 : 1,181,742 = 1,181,742 : x
  2. Step 2: Convert to fraction form
    542,655/1,181,742 = 1,181,742/x
  3. Step 3: Cross multiply
    542,655x = 1,181,742 × 1,181,742
  4. Step 4: Simplify right side
    542,655x = 1,396,514,154,564
  5. Step 5: Solve for x
    x = 1,396,514,154,564/542,655
  6. Step 6: Final answer
    x = 2,573,484.36

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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.