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Finding the Third Proportional to 698,652 and 1,422,996.75

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Solution

The third proportional to 698,652 and 1,422,996.75 is: 2,898,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,652 : 1,422,996.75 = 1,422,996.75 : x
  2. Step 2: Convert to fraction form
    698,652/1,422,996.75 = 1,422,996.75/x
  3. Step 3: Cross multiply
    698,652x = 1,422,996.75 × 1,422,996.75
  4. Step 4: Simplify right side
    698,652x = 2,024,919,750,510.56
  5. Step 5: Solve for x
    x = 2,024,919,750,510.56/698,652
  6. Step 6: Final answer
    x = 2,898,323.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.