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Finding the Third Proportional to 680,384 and 1,426,378

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Solution

The third proportional to 680,384 and 1,426,378 is: 2,990,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,384 : 1,426,378 = 1,426,378 : x
  2. Step 2: Convert to fraction form
    680,384/1,426,378 = 1,426,378/x
  3. Step 3: Cross multiply
    680,384x = 1,426,378 × 1,426,378
  4. Step 4: Simplify right side
    680,384x = 2,034,554,198,884
  5. Step 5: Solve for x
    x = 2,034,554,198,884/680,384
  6. Step 6: Final answer
    x = 2,990,302.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.