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Finding the Third Proportional to 407,188 and 886,664

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Solution

The third proportional to 407,188 and 886,664 is: 1,930,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,188 : 886,664 = 886,664 : x
  2. Step 2: Convert to fraction form
    407,188/886,664 = 886,664/x
  3. Step 3: Cross multiply
    407,188x = 886,664 × 886,664
  4. Step 4: Simplify right side
    407,188x = 786,173,048,896
  5. Step 5: Solve for x
    x = 786,173,048,896/407,188
  6. Step 6: Final answer
    x = 1,930,737.27

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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.