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Finding the Third Proportional to 2,100,384 and 4,607,424

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Solution

The third proportional to 2,100,384 and 4,607,424 is: 10,106,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,384 : 4,607,424 = 4,607,424 : x
  2. Step 2: Convert to fraction form
    2,100,384/4,607,424 = 4,607,424/x
  3. Step 3: Cross multiply
    2,100,384x = 4,607,424 × 4,607,424
  4. Step 4: Simplify right side
    2,100,384x = 21,228,355,915,776
  5. Step 5: Solve for x
    x = 21,228,355,915,776/2,100,384
  6. Step 6: Final answer
    x = 10,106,892.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.