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Finding the Third Proportional to 1,306,434 and 2,799,492

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Solution

The third proportional to 1,306,434 and 2,799,492 is: 5,998,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,434 : 2,799,492 = 2,799,492 : x
  2. Step 2: Convert to fraction form
    1,306,434/2,799,492 = 2,799,492/x
  3. Step 3: Cross multiply
    1,306,434x = 2,799,492 × 2,799,492
  4. Step 4: Simplify right side
    1,306,434x = 7,837,155,458,064
  5. Step 5: Solve for x
    x = 7,837,155,458,064/1,306,434
  6. Step 6: Final answer
    x = 5,998,891.22

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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.