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Finding the Third Proportional to 676,971 and 1,486,793.25

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Solution

The third proportional to 676,971 and 1,486,793.25 is: 3,265,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,971 : 1,486,793.25 = 1,486,793.25 : x
  2. Step 2: Convert to fraction form
    676,971/1,486,793.25 = 1,486,793.25/x
  3. Step 3: Cross multiply
    676,971x = 1,486,793.25 × 1,486,793.25
  4. Step 4: Simplify right side
    676,971x = 2,210,554,168,245.56
  5. Step 5: Solve for x
    x = 2,210,554,168,245.56/676,971
  6. Step 6: Final answer
    x = 3,265,360.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.