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Finding the Third Proportional to 726,099.75 and 1,574,669.25

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Solution

The third proportional to 726,099.75 and 1,574,669.25 is: 3,414,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,099.75 : 1,574,669.25 = 1,574,669.25 : x
  2. Step 2: Convert to fraction form
    726,099.75/1,574,669.25 = 1,574,669.25/x
  3. Step 3: Cross multiply
    726,099.75x = 1,574,669.25 × 1,574,669.25
  4. Step 4: Simplify right side
    726,099.75x = 2,479,583,246,895.56
  5. Step 5: Solve for x
    x = 2,479,583,246,895.56/726,099.75
  6. Step 6: Final answer
    x = 3,414,934.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.