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Finding the Third Proportional to 643,903 and 1,019,367

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Solution

The third proportional to 643,903 and 1,019,367 is: 1,613,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,903 : 1,019,367 = 1,019,367 : x
  2. Step 2: Convert to fraction form
    643,903/1,019,367 = 1,019,367/x
  3. Step 3: Cross multiply
    643,903x = 1,019,367 × 1,019,367
  4. Step 4: Simplify right side
    643,903x = 1,039,109,080,689
  5. Step 5: Solve for x
    x = 1,039,109,080,689/643,903
  6. Step 6: Final answer
    x = 1,613,766.48

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.