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Finding the Third Proportional to 414,813 and 886,488

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Solution

The third proportional to 414,813 and 886,488 is: 1,894,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,813 : 886,488 = 886,488 : x
  2. Step 2: Convert to fraction form
    414,813/886,488 = 886,488/x
  3. Step 3: Cross multiply
    414,813x = 886,488 × 886,488
  4. Step 4: Simplify right side
    414,813x = 785,860,974,144
  5. Step 5: Solve for x
    x = 785,860,974,144/414,813
  6. Step 6: Final answer
    x = 1,894,494.57

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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.