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Finding the Third Proportional to 827,107.50 and 1,264,990.50

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Solution

The third proportional to 827,107.50 and 1,264,990.50 is: 1,934,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,107.50 : 1,264,990.50 = 1,264,990.50 : x
  2. Step 2: Convert to fraction form
    827,107.50/1,264,990.50 = 1,264,990.50/x
  3. Step 3: Cross multiply
    827,107.50x = 1,264,990.50 × 1,264,990.50
  4. Step 4: Simplify right side
    827,107.50x = 1,600,200,965,090.25
  5. Step 5: Solve for x
    x = 1,600,200,965,090.25/827,107.50
  6. Step 6: Final answer
    x = 1,934,695.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.