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Finding the Third Proportional to 823,909.50 and 1,247,475

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Solution

The third proportional to 823,909.50 and 1,247,475 is: 1,888,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,909.50 : 1,247,475 = 1,247,475 : x
  2. Step 2: Convert to fraction form
    823,909.50/1,247,475 = 1,247,475/x
  3. Step 3: Cross multiply
    823,909.50x = 1,247,475 × 1,247,475
  4. Step 4: Simplify right side
    823,909.50x = 1,556,193,875,625
  5. Step 5: Solve for x
    x = 1,556,193,875,625/823,909.50
  6. Step 6: Final answer
    x = 1,888,792.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.