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Finding the Third Proportional to 413,766 and 886,578

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Solution

The third proportional to 413,766 and 886,578 is: 1,899,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,766 : 886,578 = 886,578 : x
  2. Step 2: Convert to fraction form
    413,766/886,578 = 886,578/x
  3. Step 3: Cross multiply
    413,766x = 886,578 × 886,578
  4. Step 4: Simplify right side
    413,766x = 786,020,550,084
  5. Step 5: Solve for x
    x = 786,020,550,084/413,766
  6. Step 6: Final answer
    x = 1,899,674.09

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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.