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Finding the Third Proportional to 1,671,808.50 and 3,945,857.25

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Solution

The third proportional to 1,671,808.50 and 3,945,857.25 is: 9,313,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671,808.50 : 3,945,857.25 = 3,945,857.25 : x
  2. Step 2: Convert to fraction form
    1,671,808.50/3,945,857.25 = 3,945,857.25/x
  3. Step 3: Cross multiply
    1,671,808.50x = 3,945,857.25 × 3,945,857.25
  4. Step 4: Simplify right side
    1,671,808.50x = 15,569,789,437,377.56
  5. Step 5: Solve for x
    x = 15,569,789,437,377.56/1,671,808.50
  6. Step 6: Final answer
    x = 9,313,141.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.