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Finding the Third Proportional to 1,456,399.50 and 2,261,280

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Solution

The third proportional to 1,456,399.50 and 2,261,280 is: 3,510,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,399.50 : 2,261,280 = 2,261,280 : x
  2. Step 2: Convert to fraction form
    1,456,399.50/2,261,280 = 2,261,280/x
  3. Step 3: Cross multiply
    1,456,399.50x = 2,261,280 × 2,261,280
  4. Step 4: Simplify right side
    1,456,399.50x = 5,113,387,238,400
  5. Step 5: Solve for x
    x = 5,113,387,238,400/1,456,399.50
  6. Step 6: Final answer
    x = 3,510,978.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.