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Finding the Third Proportional to 472,293 and 1,014,561

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Solution

The third proportional to 472,293 and 1,014,561 is: 2,179,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,293 : 1,014,561 = 1,014,561 : x
  2. Step 2: Convert to fraction form
    472,293/1,014,561 = 1,014,561/x
  3. Step 3: Cross multiply
    472,293x = 1,014,561 × 1,014,561
  4. Step 4: Simplify right side
    472,293x = 1,029,334,022,721
  5. Step 5: Solve for x
    x = 1,029,334,022,721/472,293
  6. Step 6: Final answer
    x = 2,179,439.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.