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Finding the Third Proportional to 549,721 and 1,193,443

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Solution

The third proportional to 549,721 and 1,193,443 is: 2,590,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,721 : 1,193,443 = 1,193,443 : x
  2. Step 2: Convert to fraction form
    549,721/1,193,443 = 1,193,443/x
  3. Step 3: Cross multiply
    549,721x = 1,193,443 × 1,193,443
  4. Step 4: Simplify right side
    549,721x = 1,424,306,194,249
  5. Step 5: Solve for x
    x = 1,424,306,194,249/549,721
  6. Step 6: Final answer
    x = 2,590,961.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.