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Finding the Third Proportional to 412,289 and 886,905

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Solution

The third proportional to 412,289 and 886,905 is: 1,907,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,289 : 886,905 = 886,905 : x
  2. Step 2: Convert to fraction form
    412,289/886,905 = 886,905/x
  3. Step 3: Cross multiply
    412,289x = 886,905 × 886,905
  4. Step 4: Simplify right side
    412,289x = 786,600,479,025
  5. Step 5: Solve for x
    x = 786,600,479,025/412,289
  6. Step 6: Final answer
    x = 1,907,886.16

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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.