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Finding the Third Proportional to 467,502 and 1,009,767

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Solution

The third proportional to 467,502 and 1,009,767 is: 2,181,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,502 : 1,009,767 = 1,009,767 : x
  2. Step 2: Convert to fraction form
    467,502/1,009,767 = 1,009,767/x
  3. Step 3: Cross multiply
    467,502x = 1,009,767 × 1,009,767
  4. Step 4: Simplify right side
    467,502x = 1,019,629,394,289
  5. Step 5: Solve for x
    x = 1,019,629,394,289/467,502
  6. Step 6: Final answer
    x = 2,181,016.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.