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Finding the Third Proportional to 881,933 and 1,932,019

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Solution

The third proportional to 881,933 and 1,932,019 is: 4,232,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,933 : 1,932,019 = 1,932,019 : x
  2. Step 2: Convert to fraction form
    881,933/1,932,019 = 1,932,019/x
  3. Step 3: Cross multiply
    881,933x = 1,932,019 × 1,932,019
  4. Step 4: Simplify right side
    881,933x = 3,732,697,416,361
  5. Step 5: Solve for x
    x = 3,732,697,416,361/881,933
  6. Step 6: Final answer
    x = 4,232,404.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.