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Finding the Third Proportional to 723,205.88 and 1,540,059.75

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Solution

The third proportional to 723,205.88 and 1,540,059.75 is: 3,279,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,205.88 : 1,540,059.75 = 1,540,059.75 : x
  2. Step 2: Convert to fraction form
    723,205.88/1,540,059.75 = 1,540,059.75/x
  3. Step 3: Cross multiply
    723,205.88x = 1,540,059.75 × 1,540,059.75
  4. Step 4: Simplify right side
    723,205.88x = 2,371,784,033,570.06
  5. Step 5: Solve for x
    x = 2,371,784,033,570.06/723,205.88
  6. Step 6: Final answer
    x = 3,279,541.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.