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Finding the Third Proportional to 939,742 and 1,431,643

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Solution

The third proportional to 939,742 and 1,431,643 is: 2,181,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,742 : 1,431,643 = 1,431,643 : x
  2. Step 2: Convert to fraction form
    939,742/1,431,643 = 1,431,643/x
  3. Step 3: Cross multiply
    939,742x = 1,431,643 × 1,431,643
  4. Step 4: Simplify right side
    939,742x = 2,049,601,679,449
  5. Step 5: Solve for x
    x = 2,049,601,679,449/939,742
  6. Step 6: Final answer
    x = 2,181,025.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.