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Finding the Third Proportional to 418,035.94 and 916,170.75

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Solution

The third proportional to 418,035.94 and 916,170.75 is: 2,007,886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,035.94 : 916,170.75 = 916,170.75 : x
  2. Step 2: Convert to fraction form
    418,035.94/916,170.75 = 916,170.75/x
  3. Step 3: Cross multiply
    418,035.94x = 916,170.75 × 916,170.75
  4. Step 4: Simplify right side
    418,035.94x = 839,368,843,155.56
  5. Step 5: Solve for x
    x = 839,368,843,155.56/418,035.94
  6. Step 6: Final answer
    x = 2,007,886.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.