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Finding the Third Proportional to 680,189 and 1,482,851

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Solution

The third proportional to 680,189 and 1,482,851 is: 3,232,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,189 : 1,482,851 = 1,482,851 : x
  2. Step 2: Convert to fraction form
    680,189/1,482,851 = 1,482,851/x
  3. Step 3: Cross multiply
    680,189x = 1,482,851 × 1,482,851
  4. Step 4: Simplify right side
    680,189x = 2,198,847,088,201
  5. Step 5: Solve for x
    x = 2,198,847,088,201/680,189
  6. Step 6: Final answer
    x = 3,232,700.16

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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.