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Finding the Third Proportional to 498,218 and 1,089,952

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Solution

The third proportional to 498,218 and 1,089,952 is: 2,384,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,218 : 1,089,952 = 1,089,952 : x
  2. Step 2: Convert to fraction form
    498,218/1,089,952 = 1,089,952/x
  3. Step 3: Cross multiply
    498,218x = 1,089,952 × 1,089,952
  4. Step 4: Simplify right side
    498,218x = 1,187,995,362,304
  5. Step 5: Solve for x
    x = 1,187,995,362,304/498,218
  6. Step 6: Final answer
    x = 2,384,489.04

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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.