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Finding the Third Proportional to 412,288 and 886,903

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Solution

The third proportional to 412,288 and 886,903 is: 1,907,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,288 : 886,903 = 886,903 : x
  2. Step 2: Convert to fraction form
    412,288/886,903 = 886,903/x
  3. Step 3: Cross multiply
    412,288x = 886,903 × 886,903
  4. Step 4: Simplify right side
    412,288x = 786,596,931,409
  5. Step 5: Solve for x
    x = 786,596,931,409/412,288
  6. Step 6: Final answer
    x = 1,907,882.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.