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Finding the Third Proportional to 411,222.75 and 916,997.53

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Solution

The third proportional to 411,222.75 and 916,997.53 is: 2,044,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,222.75 : 916,997.53 = 916,997.53 : x
  2. Step 2: Convert to fraction form
    411,222.75/916,997.53 = 916,997.53/x
  3. Step 3: Cross multiply
    411,222.75x = 916,997.53 × 916,997.53
  4. Step 4: Simplify right side
    411,222.75x = 840,884,472,318.60
  5. Step 5: Solve for x
    x = 840,884,472,318.60/411,222.75
  6. Step 6: Final answer
    x = 2,044,839.38

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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.