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Finding the Third Proportional to 1,200,002 and 2,534,896

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Solution

The third proportional to 1,200,002 and 2,534,896 is: 5,354,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,002 : 2,534,896 = 2,534,896 : x
  2. Step 2: Convert to fraction form
    1,200,002/2,534,896 = 2,534,896/x
  3. Step 3: Cross multiply
    1,200,002x = 2,534,896 × 2,534,896
  4. Step 4: Simplify right side
    1,200,002x = 6,425,697,730,816
  5. Step 5: Solve for x
    x = 6,425,697,730,816/1,200,002
  6. Step 6: Final answer
    x = 5,354,739.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.