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Finding the Third Proportional to 747,778.50 and 1,630,896.19

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Solution

The third proportional to 747,778.50 and 1,630,896.19 is: 3,556,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,778.50 : 1,630,896.19 = 1,630,896.19 : x
  2. Step 2: Convert to fraction form
    747,778.50/1,630,896.19 = 1,630,896.19/x
  3. Step 3: Cross multiply
    747,778.50x = 1,630,896.19 × 1,630,896.19
  4. Step 4: Simplify right side
    747,778.50x = 2,659,822,374,402.04
  5. Step 5: Solve for x
    x = 2,659,822,374,402.04/747,778.50
  6. Step 6: Final answer
    x = 3,556,965.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.