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Finding the Third Proportional to 1,908,463 and 4,115,839

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Solution

The third proportional to 1,908,463 and 4,115,839 is: 8,876,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908,463 : 4,115,839 = 4,115,839 : x
  2. Step 2: Convert to fraction form
    1,908,463/4,115,839 = 4,115,839/x
  3. Step 3: Cross multiply
    1,908,463x = 4,115,839 × 4,115,839
  4. Step 4: Simplify right side
    1,908,463x = 16,940,130,673,921
  5. Step 5: Solve for x
    x = 16,940,130,673,921/1,908,463
  6. Step 6: Final answer
    x = 8,876,321.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.