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Finding the Third Proportional to 407,195 and 886,678

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Solution

The third proportional to 407,195 and 886,678 is: 1,930,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,195 : 886,678 = 886,678 : x
  2. Step 2: Convert to fraction form
    407,195/886,678 = 886,678/x
  3. Step 3: Cross multiply
    407,195x = 886,678 × 886,678
  4. Step 4: Simplify right side
    407,195x = 786,197,875,684
  5. Step 5: Solve for x
    x = 786,197,875,684/407,195
  6. Step 6: Final answer
    x = 1,930,765.05

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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.