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Finding the Third Proportional to 826,188 and 1,814,973

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Solution

The third proportional to 826,188 and 1,814,973 is: 3,987,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,188 : 1,814,973 = 1,814,973 : x
  2. Step 2: Convert to fraction form
    826,188/1,814,973 = 1,814,973/x
  3. Step 3: Cross multiply
    826,188x = 1,814,973 × 1,814,973
  4. Step 4: Simplify right side
    826,188x = 3,294,126,990,729
  5. Step 5: Solve for x
    x = 3,294,126,990,729/826,188
  6. Step 6: Final answer
    x = 3,987,139.72

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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.