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Finding the Third Proportional to 467,542 and 1,009,682

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Solution

The third proportional to 467,542 and 1,009,682 is: 2,180,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,542 : 1,009,682 = 1,009,682 : x
  2. Step 2: Convert to fraction form
    467,542/1,009,682 = 1,009,682/x
  3. Step 3: Cross multiply
    467,542x = 1,009,682 × 1,009,682
  4. Step 4: Simplify right side
    467,542x = 1,019,457,741,124
  5. Step 5: Solve for x
    x = 1,019,457,741,124/467,542
  6. Step 6: Final answer
    x = 2,180,462.38

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