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Finding the Third Proportional to 813,658.50 and 1,771,965

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Solution

The third proportional to 813,658.50 and 1,771,965 is: 3,858,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,658.50 : 1,771,965 = 1,771,965 : x
  2. Step 2: Convert to fraction form
    813,658.50/1,771,965 = 1,771,965/x
  3. Step 3: Cross multiply
    813,658.50x = 1,771,965 × 1,771,965
  4. Step 4: Simplify right side
    813,658.50x = 3,139,859,961,225
  5. Step 5: Solve for x
    x = 3,139,859,961,225/813,658.50
  6. Step 6: Final answer
    x = 3,858,940.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.