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Finding the Third Proportional to 451,990 and 1,003,106

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Solution

The third proportional to 451,990 and 1,003,106 is: 2,226,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,990 : 1,003,106 = 1,003,106 : x
  2. Step 2: Convert to fraction form
    451,990/1,003,106 = 1,003,106/x
  3. Step 3: Cross multiply
    451,990x = 1,003,106 × 1,003,106
  4. Step 4: Simplify right side
    451,990x = 1,006,221,647,236
  5. Step 5: Solve for x
    x = 1,006,221,647,236/451,990
  6. Step 6: Final answer
    x = 2,226,203.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.