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Finding the Third Proportional to 932,967 and 2,031,867

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Solution

The third proportional to 932,967 and 2,031,867 is: 4,425,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,967 : 2,031,867 = 2,031,867 : x
  2. Step 2: Convert to fraction form
    932,967/2,031,867 = 2,031,867/x
  3. Step 3: Cross multiply
    932,967x = 2,031,867 × 2,031,867
  4. Step 4: Simplify right side
    932,967x = 4,128,483,505,689
  5. Step 5: Solve for x
    x = 4,128,483,505,689/932,967
  6. Step 6: Final answer
    x = 4,425,112.04

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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.