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Finding the Third Proportional to 411,226 and 917,005

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Solution

The third proportional to 411,226 and 917,005 is: 2,044,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,226 : 917,005 = 917,005 : x
  2. Step 2: Convert to fraction form
    411,226/917,005 = 917,005/x
  3. Step 3: Cross multiply
    411,226x = 917,005 × 917,005
  4. Step 4: Simplify right side
    411,226x = 840,898,170,025
  5. Step 5: Solve for x
    x = 840,898,170,025/411,226
  6. Step 6: Final answer
    x = 2,044,856.53

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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.