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Finding the Third Proportional to 542,315 and 1,181,140

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Solution

The third proportional to 542,315 and 1,181,140 is: 2,572,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,315 : 1,181,140 = 1,181,140 : x
  2. Step 2: Convert to fraction form
    542,315/1,181,140 = 1,181,140/x
  3. Step 3: Cross multiply
    542,315x = 1,181,140 × 1,181,140
  4. Step 4: Simplify right side
    542,315x = 1,395,091,699,600
  5. Step 5: Solve for x
    x = 1,395,091,699,600/542,315
  6. Step 6: Final answer
    x = 2,572,474.85

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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.