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Finding the Third Proportional to 417,202 and 886,116

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Solution

The third proportional to 417,202 and 886,116 is: 1,882,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,202 : 886,116 = 886,116 : x
  2. Step 2: Convert to fraction form
    417,202/886,116 = 886,116/x
  3. Step 3: Cross multiply
    417,202x = 886,116 × 886,116
  4. Step 4: Simplify right side
    417,202x = 785,201,565,456
  5. Step 5: Solve for x
    x = 785,201,565,456/417,202
  6. Step 6: Final answer
    x = 1,882,065.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.