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Finding the Third Proportional to 1,516,754.25 and 3,220,494.75

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Solution

The third proportional to 1,516,754.25 and 3,220,494.75 is: 6,838,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,754.25 : 3,220,494.75 = 3,220,494.75 : x
  2. Step 2: Convert to fraction form
    1,516,754.25/3,220,494.75 = 3,220,494.75/x
  3. Step 3: Cross multiply
    1,516,754.25x = 3,220,494.75 × 3,220,494.75
  4. Step 4: Simplify right side
    1,516,754.25x = 10,371,586,434,777.56
  5. Step 5: Solve for x
    x = 10,371,586,434,777.56/1,516,754.25
  6. Step 6: Final answer
    x = 6,838,013.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.