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Finding the Third Proportional to 1,469,527.31 and 2,226,434.34

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Solution

The third proportional to 1,469,527.31 and 2,226,434.34 is: 3,373,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,527.31 : 2,226,434.34 = 2,226,434.34 : x
  2. Step 2: Convert to fraction form
    1,469,527.31/2,226,434.34 = 2,226,434.34/x
  3. Step 3: Cross multiply
    1,469,527.31x = 2,226,434.34 × 2,226,434.34
  4. Step 4: Simplify right side
    1,469,527.31x = 4,957,009,887,029.49
  5. Step 5: Solve for x
    x = 4,957,009,887,029.49/1,469,527.31
  6. Step 6: Final answer
    x = 3,373,200.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.