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Finding the Third Proportional to 865,682 and 1,293,677

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Solution

The third proportional to 865,682 and 1,293,677 is: 1,933,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,682 : 1,293,677 = 1,293,677 : x
  2. Step 2: Convert to fraction form
    865,682/1,293,677 = 1,293,677/x
  3. Step 3: Cross multiply
    865,682x = 1,293,677 × 1,293,677
  4. Step 4: Simplify right side
    865,682x = 1,673,600,180,329
  5. Step 5: Solve for x
    x = 1,673,600,180,329/865,682
  6. Step 6: Final answer
    x = 1,933,273.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.