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Finding the Third Proportional to 643,943 and 1,398,505

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Solution

The third proportional to 643,943 and 1,398,505 is: 3,037,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,943 : 1,398,505 = 1,398,505 : x
  2. Step 2: Convert to fraction form
    643,943/1,398,505 = 1,398,505/x
  3. Step 3: Cross multiply
    643,943x = 1,398,505 × 1,398,505
  4. Step 4: Simplify right side
    643,943x = 1,955,816,235,025
  5. Step 5: Solve for x
    x = 1,955,816,235,025/643,943
  6. Step 6: Final answer
    x = 3,037,250.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.