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Finding the Third Proportional to 681,482 and 1,486,733

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Solution

The third proportional to 681,482 and 1,486,733 is: 3,243,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,482 : 1,486,733 = 1,486,733 : x
  2. Step 2: Convert to fraction form
    681,482/1,486,733 = 1,486,733/x
  3. Step 3: Cross multiply
    681,482x = 1,486,733 × 1,486,733
  4. Step 4: Simplify right side
    681,482x = 2,210,375,013,289
  5. Step 5: Solve for x
    x = 2,210,375,013,289/681,482
  6. Step 6: Final answer
    x = 3,243,482.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.