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Finding the Third Proportional to 808,096.50 and 1,767,642.75

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Solution

The third proportional to 808,096.50 and 1,767,642.75 is: 3,866,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,096.50 : 1,767,642.75 = 1,767,642.75 : x
  2. Step 2: Convert to fraction form
    808,096.50/1,767,642.75 = 1,767,642.75/x
  3. Step 3: Cross multiply
    808,096.50x = 1,767,642.75 × 1,767,642.75
  4. Step 4: Simplify right side
    808,096.50x = 3,124,560,891,627.56
  5. Step 5: Solve for x
    x = 3,124,560,891,627.56/808,096.50
  6. Step 6: Final answer
    x = 3,866,569.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.