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Finding the Third Proportional to 865,684 and 1,293,680

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Solution

The third proportional to 865,684 and 1,293,680 is: 1,933,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,684 : 1,293,680 = 1,293,680 : x
  2. Step 2: Convert to fraction form
    865,684/1,293,680 = 1,293,680/x
  3. Step 3: Cross multiply
    865,684x = 1,293,680 × 1,293,680
  4. Step 4: Simplify right side
    865,684x = 1,673,607,942,400
  5. Step 5: Solve for x
    x = 1,673,607,942,400/865,684
  6. Step 6: Final answer
    x = 1,933,278.13

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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.