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Finding the Third Proportional to 643,422 and 1,397,436

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Solution

The third proportional to 643,422 and 1,397,436 is: 3,035,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,422 : 1,397,436 = 1,397,436 : x
  2. Step 2: Convert to fraction form
    643,422/1,397,436 = 1,397,436/x
  3. Step 3: Cross multiply
    643,422x = 1,397,436 × 1,397,436
  4. Step 4: Simplify right side
    643,422x = 1,952,827,374,096
  5. Step 5: Solve for x
    x = 1,952,827,374,096/643,422
  6. Step 6: Final answer
    x = 3,035,064.66

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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.