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Finding the Third Proportional to 542,506.78 and 1,159,751.25

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Solution

The third proportional to 542,506.78 and 1,159,751.25 is: 2,479,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,506.78 : 1,159,751.25 = 1,159,751.25 : x
  2. Step 2: Convert to fraction form
    542,506.78/1,159,751.25 = 1,159,751.25/x
  3. Step 3: Cross multiply
    542,506.78x = 1,159,751.25 × 1,159,751.25
  4. Step 4: Simplify right side
    542,506.78x = 1,345,022,961,876.56
  5. Step 5: Solve for x
    x = 1,345,022,961,876.56/542,506.78
  6. Step 6: Final answer
    x = 2,479,274.01

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