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Finding the Third Proportional to 826,200 and 1,814,998

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Solution

The third proportional to 826,200 and 1,814,998 is: 3,987,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,200 : 1,814,998 = 1,814,998 : x
  2. Step 2: Convert to fraction form
    826,200/1,814,998 = 1,814,998/x
  3. Step 3: Cross multiply
    826,200x = 1,814,998 × 1,814,998
  4. Step 4: Simplify right side
    826,200x = 3,294,217,740,004
  5. Step 5: Solve for x
    x = 3,294,217,740,004/826,200
  6. Step 6: Final answer
    x = 3,987,191.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.