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Finding the Third Proportional to 1,301,702 and 2,002,114

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Solution

The third proportional to 1,301,702 and 2,002,114 is: 3,079,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,702 : 2,002,114 = 2,002,114 : x
  2. Step 2: Convert to fraction form
    1,301,702/2,002,114 = 2,002,114/x
  3. Step 3: Cross multiply
    1,301,702x = 2,002,114 × 2,002,114
  4. Step 4: Simplify right side
    1,301,702x = 4,008,460,468,996
  5. Step 5: Solve for x
    x = 4,008,460,468,996/1,301,702
  6. Step 6: Final answer
    x = 3,079,399.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.