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Finding the Third Proportional to 822,232.27 and 1,734,439.08

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Solution

The third proportional to 822,232.27 and 1,734,439.08 is: 3,658,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,232.27 : 1,734,439.08 = 1,734,439.08 : x
  2. Step 2: Convert to fraction form
    822,232.27/1,734,439.08 = 1,734,439.08/x
  3. Step 3: Cross multiply
    822,232.27x = 1,734,439.08 × 1,734,439.08
  4. Step 4: Simplify right side
    822,232.27x = 3,008,278,915,727.10
  5. Step 5: Solve for x
    x = 3,008,278,915,727.10/822,232.27
  6. Step 6: Final answer
    x = 3,658,672.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.