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Finding the Third Proportional to 1,400,384 and 3,376,220

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Solution

The third proportional to 1,400,384 and 3,376,220 is: 8,139,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,384 : 3,376,220 = 3,376,220 : x
  2. Step 2: Convert to fraction form
    1,400,384/3,376,220 = 3,376,220/x
  3. Step 3: Cross multiply
    1,400,384x = 3,376,220 × 3,376,220
  4. Step 4: Simplify right side
    1,400,384x = 11,398,861,488,400
  5. Step 5: Solve for x
    x = 11,398,861,488,400/1,400,384
  6. Step 6: Final answer
    x = 8,139,811.29

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.