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Finding the Third Proportional to 967,409 and 2,100,994

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Solution

The third proportional to 967,409 and 2,100,994 is: 4,562,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,409 : 2,100,994 = 2,100,994 : x
  2. Step 2: Convert to fraction form
    967,409/2,100,994 = 2,100,994/x
  3. Step 3: Cross multiply
    967,409x = 2,100,994 × 2,100,994
  4. Step 4: Simplify right side
    967,409x = 4,414,175,788,036
  5. Step 5: Solve for x
    x = 4,414,175,788,036/967,409
  6. Step 6: Final answer
    x = 4,562,884.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.