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Finding the Third Proportional to 1,664,664.75 and 2,497,223.25

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Solution

The third proportional to 1,664,664.75 and 2,497,223.25 is: 3,746,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,664.75 : 2,497,223.25 = 2,497,223.25 : x
  2. Step 2: Convert to fraction form
    1,664,664.75/2,497,223.25 = 2,497,223.25/x
  3. Step 3: Cross multiply
    1,664,664.75x = 2,497,223.25 × 2,497,223.25
  4. Step 4: Simplify right side
    1,664,664.75x = 6,236,123,960,340.56
  5. Step 5: Solve for x
    x = 6,236,123,960,340.56/1,664,664.75
  6. Step 6: Final answer
    x = 3,746,174.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.