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Finding the Third Proportional to 664,116.75 and 1,228,446.56

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Solution

The third proportional to 664,116.75 and 1,228,446.56 is: 2,272,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,116.75 : 1,228,446.56 = 1,228,446.56 : x
  2. Step 2: Convert to fraction form
    664,116.75/1,228,446.56 = 1,228,446.56/x
  3. Step 3: Cross multiply
    664,116.75x = 1,228,446.56 × 1,228,446.56
  4. Step 4: Simplify right side
    664,116.75x = 1,509,080,956,918.07
  5. Step 5: Solve for x
    x = 1,509,080,956,918.07/664,116.75
  6. Step 6: Final answer
    x = 2,272,312.75

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.