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Finding the Third Proportional to 2,094,042 and 3,321,213

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Solution

The third proportional to 2,094,042 and 3,321,213 is: 5,267,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,042 : 3,321,213 = 3,321,213 : x
  2. Step 2: Convert to fraction form
    2,094,042/3,321,213 = 3,321,213/x
  3. Step 3: Cross multiply
    2,094,042x = 3,321,213 × 3,321,213
  4. Step 4: Simplify right side
    2,094,042x = 11,030,455,791,369
  5. Step 5: Solve for x
    x = 11,030,455,791,369/2,094,042
  6. Step 6: Final answer
    x = 5,267,542.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.