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Finding the Third Proportional to 421,560 and 995,112

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Solution

The third proportional to 421,560 and 995,112 is: 2,349,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,560 : 995,112 = 995,112 : x
  2. Step 2: Convert to fraction form
    421,560/995,112 = 995,112/x
  3. Step 3: Cross multiply
    421,560x = 995,112 × 995,112
  4. Step 4: Simplify right side
    421,560x = 990,247,892,544
  5. Step 5: Solve for x
    x = 990,247,892,544/421,560
  6. Step 6: Final answer
    x = 2,349,008.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.