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Finding the Third Proportional to 1,003,406 and 2,197,214

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Solution

The third proportional to 1,003,406 and 2,197,214 is: 4,811,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,406 : 2,197,214 = 2,197,214 : x
  2. Step 2: Convert to fraction form
    1,003,406/2,197,214 = 2,197,214/x
  3. Step 3: Cross multiply
    1,003,406x = 2,197,214 × 2,197,214
  4. Step 4: Simplify right side
    1,003,406x = 4,827,749,361,796
  5. Step 5: Solve for x
    x = 4,827,749,361,796/1,003,406
  6. Step 6: Final answer
    x = 4,811,361.86

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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.