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Finding the Third Proportional to 416,637 and 897,243.75

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Solution

The third proportional to 416,637 and 897,243.75 is: 1,932,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,637 : 897,243.75 = 897,243.75 : x
  2. Step 2: Convert to fraction form
    416,637/897,243.75 = 897,243.75/x
  3. Step 3: Cross multiply
    416,637x = 897,243.75 × 897,243.75
  4. Step 4: Simplify right side
    416,637x = 805,046,346,914.06
  5. Step 5: Solve for x
    x = 805,046,346,914.06/416,637
  6. Step 6: Final answer
    x = 1,932,248.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.