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Finding the Third Proportional to 2,262,326 and 4,848,496

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Solution

The third proportional to 2,262,326 and 4,848,496 is: 10,391,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262,326 : 4,848,496 = 4,848,496 : x
  2. Step 2: Convert to fraction form
    2,262,326/4,848,496 = 4,848,496/x
  3. Step 3: Cross multiply
    2,262,326x = 4,848,496 × 4,848,496
  4. Step 4: Simplify right side
    2,262,326x = 23,507,913,462,016
  5. Step 5: Solve for x
    x = 23,507,913,462,016/2,262,326
  6. Step 6: Final answer
    x = 10,391,037.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.