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Finding the Third Proportional to 472,170 and 1,019,727

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Solution

The third proportional to 472,170 and 1,019,727 is: 2,202,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,170 : 1,019,727 = 1,019,727 : x
  2. Step 2: Convert to fraction form
    472,170/1,019,727 = 1,019,727/x
  3. Step 3: Cross multiply
    472,170x = 1,019,727 × 1,019,727
  4. Step 4: Simplify right side
    472,170x = 1,039,843,154,529
  5. Step 5: Solve for x
    x = 1,039,843,154,529/472,170
  6. Step 6: Final answer
    x = 2,202,264.34

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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.