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Finding the Third Proportional to 826,771.50 and 1,170,200.25

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Solution

The third proportional to 826,771.50 and 1,170,200.25 is: 1,656,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,771.50 : 1,170,200.25 = 1,170,200.25 : x
  2. Step 2: Convert to fraction form
    826,771.50/1,170,200.25 = 1,170,200.25/x
  3. Step 3: Cross multiply
    826,771.50x = 1,170,200.25 × 1,170,200.25
  4. Step 4: Simplify right side
    826,771.50x = 1,369,368,625,100.06
  5. Step 5: Solve for x
    x = 1,369,368,625,100.06/826,771.50
  6. Step 6: Final answer
    x = 1,656,284.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.