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Finding the Third Proportional to 823,107 and 1,760,316

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Solution

The third proportional to 823,107 and 1,760,316 is: 3,764,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,107 : 1,760,316 = 1,760,316 : x
  2. Step 2: Convert to fraction form
    823,107/1,760,316 = 1,760,316/x
  3. Step 3: Cross multiply
    823,107x = 1,760,316 × 1,760,316
  4. Step 4: Simplify right side
    823,107x = 3,098,712,419,856
  5. Step 5: Solve for x
    x = 3,098,712,419,856/823,107
  6. Step 6: Final answer
    x = 3,764,653.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.