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Finding the Third Proportional to 2,104,384 and 4,637,744

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Solution

The third proportional to 2,104,384 and 4,637,744 is: 10,220,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104,384 : 4,637,744 = 4,637,744 : x
  2. Step 2: Convert to fraction form
    2,104,384/4,637,744 = 4,637,744/x
  3. Step 3: Cross multiply
    2,104,384x = 4,637,744 × 4,637,744
  4. Step 4: Simplify right side
    2,104,384x = 21,508,669,409,536
  5. Step 5: Solve for x
    x = 21,508,669,409,536/2,104,384
  6. Step 6: Final answer
    x = 10,220,886.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.