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Finding the Third Proportional to 411,223.97 and 917,000.06

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Solution

The third proportional to 411,223.97 and 917,000.06 is: 2,044,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,223.97 : 917,000.06 = 917,000.06 : x
  2. Step 2: Convert to fraction form
    411,223.97/917,000.06 = 917,000.06/x
  3. Step 3: Cross multiply
    411,223.97x = 917,000.06 × 917,000.06
  4. Step 4: Simplify right side
    411,223.97x = 840,889,114,625.00
  5. Step 5: Solve for x
    x = 840,889,114,625.00/411,223.97
  6. Step 6: Final answer
    x = 2,044,844.61

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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.