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Finding the Third Proportional to 411,326 and 917,172

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Solution

The third proportional to 411,326 and 917,172 is: 2,045,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,326 : 917,172 = 917,172 : x
  2. Step 2: Convert to fraction form
    411,326/917,172 = 917,172/x
  3. Step 3: Cross multiply
    411,326x = 917,172 × 917,172
  4. Step 4: Simplify right side
    411,326x = 841,204,477,584
  5. Step 5: Solve for x
    x = 841,204,477,584/411,326
  6. Step 6: Final answer
    x = 2,045,104.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.