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Finding the Third Proportional to 411,222.94 and 916,999.03

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Solution

The third proportional to 411,222.94 and 916,999.03 is: 2,044,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,222.94 : 916,999.03 = 916,999.03 : x
  2. Step 2: Convert to fraction form
    411,222.94/916,999.03 = 916,999.03/x
  3. Step 3: Cross multiply
    411,222.94x = 916,999.03 × 916,999.03
  4. Step 4: Simplify right side
    411,222.94x = 840,887,223,313.44
  5. Step 5: Solve for x
    x = 840,887,223,313.44/411,222.94
  6. Step 6: Final answer
    x = 2,044,845.14

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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.