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Finding the Third Proportional to 680,194 and 1,482,860

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Solution

The third proportional to 680,194 and 1,482,860 is: 3,232,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,194 : 1,482,860 = 1,482,860 : x
  2. Step 2: Convert to fraction form
    680,194/1,482,860 = 1,482,860/x
  3. Step 3: Cross multiply
    680,194x = 1,482,860 × 1,482,860
  4. Step 4: Simplify right side
    680,194x = 2,198,873,779,600
  5. Step 5: Solve for x
    x = 2,198,873,779,600/680,194
  6. Step 6: Final answer
    x = 3,232,715.64

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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.