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Finding the Third Proportional to 1,738,989 and 3,786,871

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Solution

The third proportional to 1,738,989 and 3,786,871 is: 8,246,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,989 : 3,786,871 = 3,786,871 : x
  2. Step 2: Convert to fraction form
    1,738,989/3,786,871 = 3,786,871/x
  3. Step 3: Cross multiply
    1,738,989x = 3,786,871 × 3,786,871
  4. Step 4: Simplify right side
    1,738,989x = 14,340,391,970,641
  5. Step 5: Solve for x
    x = 14,340,391,970,641/1,738,989
  6. Step 6: Final answer
    x = 8,246,396.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.