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Finding the Third Proportional to 3,789,970 and 5,831,337

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Solution

The third proportional to 3,789,970 and 5,831,337 is: 8,972,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789,970 : 5,831,337 = 5,831,337 : x
  2. Step 2: Convert to fraction form
    3,789,970/5,831,337 = 5,831,337/x
  3. Step 3: Cross multiply
    3,789,970x = 5,831,337 × 5,831,337
  4. Step 4: Simplify right side
    3,789,970x = 34,004,491,207,569
  5. Step 5: Solve for x
    x = 34,004,491,207,569/3,789,970
  6. Step 6: Final answer
    x = 8,972,232.29

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Why These Related Problems?

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