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Finding the Third Proportional to 407,186 and 886,660

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Solution

The third proportional to 407,186 and 886,660 is: 1,930,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,186 : 886,660 = 886,660 : x
  2. Step 2: Convert to fraction form
    407,186/886,660 = 886,660/x
  3. Step 3: Cross multiply
    407,186x = 886,660 × 886,660
  4. Step 4: Simplify right side
    407,186x = 786,165,955,600
  5. Step 5: Solve for x
    x = 786,165,955,600/407,186
  6. Step 6: Final answer
    x = 1,930,729.34

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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.