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Finding the Third Proportional to 406,132 and 936,034

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Solution

The third proportional to 406,132 and 936,034 is: 2,157,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,132 : 936,034 = 936,034 : x
  2. Step 2: Convert to fraction form
    406,132/936,034 = 936,034/x
  3. Step 3: Cross multiply
    406,132x = 936,034 × 936,034
  4. Step 4: Simplify right side
    406,132x = 876,159,649,156
  5. Step 5: Solve for x
    x = 876,159,649,156/406,132
  6. Step 6: Final answer
    x = 2,157,327.30

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.