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Finding the Third Proportional to 784,620.42 and 1,663,399.55

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Solution

The third proportional to 784,620.42 and 1,663,399.55 is: 3,526,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,620.42 : 1,663,399.55 = 1,663,399.55 : x
  2. Step 2: Convert to fraction form
    784,620.42/1,663,399.55 = 1,663,399.55/x
  3. Step 3: Cross multiply
    784,620.42x = 1,663,399.55 × 1,663,399.55
  4. Step 4: Simplify right side
    784,620.42x = 2,766,898,052,543.96
  5. Step 5: Solve for x
    x = 2,766,898,052,543.96/784,620.42
  6. Step 6: Final answer
    x = 3,526,416.05

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.