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Finding the Third Proportional to 412,292 and 886,914

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Solution

The third proportional to 412,292 and 886,914 is: 1,907,911.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,292 : 886,914 = 886,914 : x
  2. Step 2: Convert to fraction form
    412,292/886,914 = 886,914/x
  3. Step 3: Cross multiply
    412,292x = 886,914 × 886,914
  4. Step 4: Simplify right side
    412,292x = 786,616,443,396
  5. Step 5: Solve for x
    x = 786,616,443,396/412,292
  6. Step 6: Final answer
    x = 1,907,911.00

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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.