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Finding the Third Proportional to 1,306,377 and 2,799,378

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Solution

The third proportional to 1,306,377 and 2,799,378 is: 5,998,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,377 : 2,799,378 = 2,799,378 : x
  2. Step 2: Convert to fraction form
    1,306,377/2,799,378 = 2,799,378/x
  3. Step 3: Cross multiply
    1,306,377x = 2,799,378 × 2,799,378
  4. Step 4: Simplify right side
    1,306,377x = 7,836,517,186,884
  5. Step 5: Solve for x
    x = 7,836,517,186,884/1,306,377
  6. Step 6: Final answer
    x = 5,998,664.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.