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Finding the Third Proportional to 1,687,585.50 and 2,680,854.75

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Solution

The third proportional to 1,687,585.50 and 2,680,854.75 is: 4,258,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,585.50 : 2,680,854.75 = 2,680,854.75 : x
  2. Step 2: Convert to fraction form
    1,687,585.50/2,680,854.75 = 2,680,854.75/x
  3. Step 3: Cross multiply
    1,687,585.50x = 2,680,854.75 × 2,680,854.75
  4. Step 4: Simplify right side
    1,687,585.50x = 7,186,982,190,597.56
  5. Step 5: Solve for x
    x = 7,186,982,190,597.56/1,687,585.50
  6. Step 6: Final answer
    x = 4,258,736.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.