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Finding the Third Proportional to 680,196 and 1,482,873

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Solution

The third proportional to 680,196 and 1,482,873 is: 3,232,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,196 : 1,482,873 = 1,482,873 : x
  2. Step 2: Convert to fraction form
    680,196/1,482,873 = 1,482,873/x
  3. Step 3: Cross multiply
    680,196x = 1,482,873 × 1,482,873
  4. Step 4: Simplify right side
    680,196x = 2,198,912,334,129
  5. Step 5: Solve for x
    x = 2,198,912,334,129/680,196
  6. Step 6: Final answer
    x = 3,232,762.81

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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.