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Finding the Third Proportional to 1,283,040 and 1,996,002

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Solution

The third proportional to 1,283,040 and 1,996,002 is: 3,105,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,040 : 1,996,002 = 1,996,002 : x
  2. Step 2: Convert to fraction form
    1,283,040/1,996,002 = 1,996,002/x
  3. Step 3: Cross multiply
    1,283,040x = 1,996,002 × 1,996,002
  4. Step 4: Simplify right side
    1,283,040x = 3,984,023,984,004
  5. Step 5: Solve for x
    x = 3,984,023,984,004/1,283,040
  6. Step 6: Final answer
    x = 3,105,144.02

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.