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Finding the Third Proportional to 643,458.50 and 1,398,980.50

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Solution

The third proportional to 643,458.50 and 1,398,980.50 is: 3,041,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,458.50 : 1,398,980.50 = 1,398,980.50 : x
  2. Step 2: Convert to fraction form
    643,458.50/1,398,980.50 = 1,398,980.50/x
  3. Step 3: Cross multiply
    643,458.50x = 1,398,980.50 × 1,398,980.50
  4. Step 4: Simplify right side
    643,458.50x = 1,957,146,439,380.25
  5. Step 5: Solve for x
    x = 1,957,146,439,380.25/643,458.50
  6. Step 6: Final answer
    x = 3,041,604.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.