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Finding the Third Proportional to 2,214,387 and 4,842,351

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Solution

The third proportional to 2,214,387 and 4,842,351 is: 10,589,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,387 : 4,842,351 = 4,842,351 : x
  2. Step 2: Convert to fraction form
    2,214,387/4,842,351 = 4,842,351/x
  3. Step 3: Cross multiply
    2,214,387x = 4,842,351 × 4,842,351
  4. Step 4: Simplify right side
    2,214,387x = 23,448,363,207,201
  5. Step 5: Solve for x
    x = 23,448,363,207,201/2,214,387
  6. Step 6: Final answer
    x = 10,589,099.02

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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.