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Finding the Third Proportional to 3,171,965 and 4,521,751

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Solution

The third proportional to 3,171,965 and 4,521,751 is: 6,445,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171,965 : 4,521,751 = 4,521,751 : x
  2. Step 2: Convert to fraction form
    3,171,965/4,521,751 = 4,521,751/x
  3. Step 3: Cross multiply
    3,171,965x = 4,521,751 × 4,521,751
  4. Step 4: Simplify right side
    3,171,965x = 20,446,232,106,001
  5. Step 5: Solve for x
    x = 20,446,232,106,001/3,171,965
  6. Step 6: Final answer
    x = 6,445,919.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.