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Finding the Third Proportional to 961,326 and 2,046,906

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Solution

The third proportional to 961,326 and 2,046,906 is: 4,358,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,326 : 2,046,906 = 2,046,906 : x
  2. Step 2: Convert to fraction form
    961,326/2,046,906 = 2,046,906/x
  3. Step 3: Cross multiply
    961,326x = 2,046,906 × 2,046,906
  4. Step 4: Simplify right side
    961,326x = 4,189,824,172,836
  5. Step 5: Solve for x
    x = 4,189,824,172,836/961,326
  6. Step 6: Final answer
    x = 4,358,380.17

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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.