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Finding the Third Proportional to 878,685.75 and 1,827,346.50

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Solution

The third proportional to 878,685.75 and 1,827,346.50 is: 3,800,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,685.75 : 1,827,346.50 = 1,827,346.50 : x
  2. Step 2: Convert to fraction form
    878,685.75/1,827,346.50 = 1,827,346.50/x
  3. Step 3: Cross multiply
    878,685.75x = 1,827,346.50 × 1,827,346.50
  4. Step 4: Simplify right side
    878,685.75x = 3,339,195,231,062.25
  5. Step 5: Solve for x
    x = 3,339,195,231,062.25/878,685.75
  6. Step 6: Final answer
    x = 3,800,215.53

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.