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Finding the Third Proportional to 683,669 and 1,061,342

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Solution

The third proportional to 683,669 and 1,061,342 is: 1,647,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,669 : 1,061,342 = 1,061,342 : x
  2. Step 2: Convert to fraction form
    683,669/1,061,342 = 1,061,342/x
  3. Step 3: Cross multiply
    683,669x = 1,061,342 × 1,061,342
  4. Step 4: Simplify right side
    683,669x = 1,126,446,840,964
  5. Step 5: Solve for x
    x = 1,126,446,840,964/683,669
  6. Step 6: Final answer
    x = 1,647,649.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.