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Finding the Third Proportional to 826,717.50 and 1,771,537.50

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Solution

The third proportional to 826,717.50 and 1,771,537.50 is: 3,796,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,717.50 : 1,771,537.50 = 1,771,537.50 : x
  2. Step 2: Convert to fraction form
    826,717.50/1,771,537.50 = 1,771,537.50/x
  3. Step 3: Cross multiply
    826,717.50x = 1,771,537.50 × 1,771,537.50
  4. Step 4: Simplify right side
    826,717.50x = 3,138,345,113,906.25
  5. Step 5: Solve for x
    x = 3,138,345,113,906.25/826,717.50
  6. Step 6: Final answer
    x = 3,796,151.79

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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.