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Finding the Third Proportional to 664,129.50 and 1,467,810

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Solution

The third proportional to 664,129.50 and 1,467,810 is: 3,244,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,129.50 : 1,467,810 = 1,467,810 : x
  2. Step 2: Convert to fraction form
    664,129.50/1,467,810 = 1,467,810/x
  3. Step 3: Cross multiply
    664,129.50x = 1,467,810 × 1,467,810
  4. Step 4: Simplify right side
    664,129.50x = 2,154,466,196,100
  5. Step 5: Solve for x
    x = 2,154,466,196,100/664,129.50
  6. Step 6: Final answer
    x = 3,244,045.32

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.