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Finding the Third Proportional to 3,451,738 and 5,402,967

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Solution

The third proportional to 3,451,738 and 5,402,967 is: 8,457,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451,738 : 5,402,967 = 5,402,967 : x
  2. Step 2: Convert to fraction form
    3,451,738/5,402,967 = 5,402,967/x
  3. Step 3: Cross multiply
    3,451,738x = 5,402,967 × 5,402,967
  4. Step 4: Simplify right side
    3,451,738x = 29,192,052,403,089
  5. Step 5: Solve for x
    x = 29,192,052,403,089/3,451,738
  6. Step 6: Final answer
    x = 8,457,203.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.