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Finding the Third Proportional to 1,200,123 and 2,833,002

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Solution

The third proportional to 1,200,123 and 2,833,002 is: 6,687,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,123 : 2,833,002 = 2,833,002 : x
  2. Step 2: Convert to fraction form
    1,200,123/2,833,002 = 2,833,002/x
  3. Step 3: Cross multiply
    1,200,123x = 2,833,002 × 2,833,002
  4. Step 4: Simplify right side
    1,200,123x = 8,025,900,332,004
  5. Step 5: Solve for x
    x = 8,025,900,332,004/1,200,123
  6. Step 6: Final answer
    x = 6,687,564.80

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.