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Finding the Third Proportional to 661,454 and 1,449,019.50

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Solution

The third proportional to 661,454 and 1,449,019.50 is: 3,174,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,454 : 1,449,019.50 = 1,449,019.50 : x
  2. Step 2: Convert to fraction form
    661,454/1,449,019.50 = 1,449,019.50/x
  3. Step 3: Cross multiply
    661,454x = 1,449,019.50 × 1,449,019.50
  4. Step 4: Simplify right side
    661,454x = 2,099,657,511,380.25
  5. Step 5: Solve for x
    x = 2,099,657,511,380.25/661,454
  6. Step 6: Final answer
    x = 3,174,306.17

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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.