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Finding the Third Proportional to 643,988 and 1,398,595

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Solution

The third proportional to 643,988 and 1,398,595 is: 3,037,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,988 : 1,398,595 = 1,398,595 : x
  2. Step 2: Convert to fraction form
    643,988/1,398,595 = 1,398,595/x
  3. Step 3: Cross multiply
    643,988x = 1,398,595 × 1,398,595
  4. Step 4: Simplify right side
    643,988x = 1,956,067,974,025
  5. Step 5: Solve for x
    x = 1,956,067,974,025/643,988
  6. Step 6: Final answer
    x = 3,037,429.23

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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.