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Finding the Third Proportional to 670,380.05 and 1,465,234.95

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Solution

The third proportional to 670,380.05 and 1,465,234.95 is: 3,202,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,380.05 : 1,465,234.95 = 1,465,234.95 : x
  2. Step 2: Convert to fraction form
    670,380.05/1,465,234.95 = 1,465,234.95/x
  3. Step 3: Cross multiply
    670,380.05x = 1,465,234.95 × 1,465,234.95
  4. Step 4: Simplify right side
    670,380.05x = 2,146,913,444,964.92
  5. Step 5: Solve for x
    x = 2,146,913,444,964.92/670,380.05
  6. Step 6: Final answer
    x = 3,202,531.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.