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Finding the Third Proportional to 542,615.63 and 1,159,974

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Solution

The third proportional to 542,615.63 and 1,159,974 is: 2,479,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,615.63 : 1,159,974 = 1,159,974 : x
  2. Step 2: Convert to fraction form
    542,615.63/1,159,974 = 1,159,974/x
  3. Step 3: Cross multiply
    542,615.63x = 1,159,974 × 1,159,974
  4. Step 4: Simplify right side
    542,615.63x = 1,345,539,680,676
  5. Step 5: Solve for x
    x = 1,345,539,680,676/542,615.63
  6. Step 6: Final answer
    x = 2,479,728.96

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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.