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Finding the Third Proportional to 2,184,491 and 4,644,544

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Solution

The third proportional to 2,184,491 and 4,644,544 is: 9,874,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,491 : 4,644,544 = 4,644,544 : x
  2. Step 2: Convert to fraction form
    2,184,491/4,644,544 = 4,644,544/x
  3. Step 3: Cross multiply
    2,184,491x = 4,644,544 × 4,644,544
  4. Step 4: Simplify right side
    2,184,491x = 21,571,788,967,936
  5. Step 5: Solve for x
    x = 21,571,788,967,936/2,184,491
  6. Step 6: Final answer
    x = 9,874,972.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.