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Finding the Third Proportional to 549,727 and 1,193,456

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Solution

The third proportional to 549,727 and 1,193,456 is: 2,590,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,727 : 1,193,456 = 1,193,456 : x
  2. Step 2: Convert to fraction form
    549,727/1,193,456 = 1,193,456/x
  3. Step 3: Cross multiply
    549,727x = 1,193,456 × 1,193,456
  4. Step 4: Simplify right side
    549,727x = 1,424,337,223,936
  5. Step 5: Solve for x
    x = 1,424,337,223,936/549,727
  6. Step 6: Final answer
    x = 2,590,990.12

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