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Finding the Third Proportional to 2,145,729 and 4,466,031

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Solution

The third proportional to 2,145,729 and 4,466,031 is: 9,295,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,729 : 4,466,031 = 4,466,031 : x
  2. Step 2: Convert to fraction form
    2,145,729/4,466,031 = 4,466,031/x
  3. Step 3: Cross multiply
    2,145,729x = 4,466,031 × 4,466,031
  4. Step 4: Simplify right side
    2,145,729x = 19,945,432,892,961
  5. Step 5: Solve for x
    x = 19,945,432,892,961/2,145,729
  6. Step 6: Final answer
    x = 9,295,410.97

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.