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Finding the Third Proportional to 542,300 and 1,181,110

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Solution

The third proportional to 542,300 and 1,181,110 is: 2,572,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,300 : 1,181,110 = 1,181,110 : x
  2. Step 2: Convert to fraction form
    542,300/1,181,110 = 1,181,110/x
  3. Step 3: Cross multiply
    542,300x = 1,181,110 × 1,181,110
  4. Step 4: Simplify right side
    542,300x = 1,395,020,832,100
  5. Step 5: Solve for x
    x = 1,395,020,832,100/542,300
  6. Step 6: Final answer
    x = 2,572,415.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.