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Finding the Third Proportional to 431,637 and 1,008,163.50

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Solution

The third proportional to 431,637 and 1,008,163.50 is: 2,354,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,637 : 1,008,163.50 = 1,008,163.50 : x
  2. Step 2: Convert to fraction form
    431,637/1,008,163.50 = 1,008,163.50/x
  3. Step 3: Cross multiply
    431,637x = 1,008,163.50 × 1,008,163.50
  4. Step 4: Simplify right side
    431,637x = 1,016,393,642,732.25
  5. Step 5: Solve for x
    x = 1,016,393,642,732.25/431,637
  6. Step 6: Final answer
    x = 2,354,741.70

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.