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Finding the Third Proportional to 2,292,724 and 4,858,544

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Solution

The third proportional to 2,292,724 and 4,858,544 is: 10,295,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292,724 : 4,858,544 = 4,858,544 : x
  2. Step 2: Convert to fraction form
    2,292,724/4,858,544 = 4,858,544/x
  3. Step 3: Cross multiply
    2,292,724x = 4,858,544 × 4,858,544
  4. Step 4: Simplify right side
    2,292,724x = 23,605,449,799,936
  5. Step 5: Solve for x
    x = 23,605,449,799,936/2,292,724
  6. Step 6: Final answer
    x = 10,295,809.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.