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Finding the Third Proportional to 766,431.75 and 1,612,261.50

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Solution

The third proportional to 766,431.75 and 1,612,261.50 is: 3,391,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,431.75 : 1,612,261.50 = 1,612,261.50 : x
  2. Step 2: Convert to fraction form
    766,431.75/1,612,261.50 = 1,612,261.50/x
  3. Step 3: Cross multiply
    766,431.75x = 1,612,261.50 × 1,612,261.50
  4. Step 4: Simplify right side
    766,431.75x = 2,599,387,144,382.25
  5. Step 5: Solve for x
    x = 2,599,387,144,382.25/766,431.75
  6. Step 6: Final answer
    x = 3,391,544.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.