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Finding the Third Proportional to 826,733.25 and 1,771,557.75

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Solution

The third proportional to 826,733.25 and 1,771,557.75 is: 3,796,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,733.25 : 1,771,557.75 = 1,771,557.75 : x
  2. Step 2: Convert to fraction form
    826,733.25/1,771,557.75 = 1,771,557.75/x
  3. Step 3: Cross multiply
    826,733.25x = 1,771,557.75 × 1,771,557.75
  4. Step 4: Simplify right side
    826,733.25x = 3,138,416,861,585.06
  5. Step 5: Solve for x
    x = 3,138,416,861,585.06/826,733.25
  6. Step 6: Final answer
    x = 3,796,166.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.