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Finding the Third Proportional to 451,989 and 1,003,104

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Solution

The third proportional to 451,989 and 1,003,104 is: 2,226,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,989 : 1,003,104 = 1,003,104 : x
  2. Step 2: Convert to fraction form
    451,989/1,003,104 = 1,003,104/x
  3. Step 3: Cross multiply
    451,989x = 1,003,104 × 1,003,104
  4. Step 4: Simplify right side
    451,989x = 1,006,217,634,816
  5. Step 5: Solve for x
    x = 1,006,217,634,816/451,989
  6. Step 6: Final answer
    x = 2,226,199.39

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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.