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Finding the Third Proportional to 739,724.20 and 1,593,719.16

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Solution

The third proportional to 739,724.20 and 1,593,719.16 is: 3,433,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,724.20 : 1,593,719.16 = 1,593,719.16 : x
  2. Step 2: Convert to fraction form
    739,724.20/1,593,719.16 = 1,593,719.16/x
  3. Step 3: Cross multiply
    739,724.20x = 1,593,719.16 × 1,593,719.16
  4. Step 4: Simplify right side
    739,724.20x = 2,539,940,748,998.21
  5. Step 5: Solve for x
    x = 2,539,940,748,998.21/739,724.20
  6. Step 6: Final answer
    x = 3,433,632.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.