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Finding the Third Proportional to 542,611.13 and 1,159,965

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Solution

The third proportional to 542,611.13 and 1,159,965 is: 2,479,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,611.13 : 1,159,965 = 1,159,965 : x
  2. Step 2: Convert to fraction form
    542,611.13/1,159,965 = 1,159,965/x
  3. Step 3: Cross multiply
    542,611.13x = 1,159,965 × 1,159,965
  4. Step 4: Simplify right side
    542,611.13x = 1,345,518,801,225
  5. Step 5: Solve for x
    x = 1,345,518,801,225/542,611.13
  6. Step 6: Final answer
    x = 2,479,711.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.