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Finding the Third Proportional to 728,801 and 1,598,002

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Solution

The third proportional to 728,801 and 1,598,002 is: 3,503,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,801 : 1,598,002 = 1,598,002 : x
  2. Step 2: Convert to fraction form
    728,801/1,598,002 = 1,598,002/x
  3. Step 3: Cross multiply
    728,801x = 1,598,002 × 1,598,002
  4. Step 4: Simplify right side
    728,801x = 2,553,610,392,004
  5. Step 5: Solve for x
    x = 2,553,610,392,004/728,801
  6. Step 6: Final answer
    x = 3,503,851.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.