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Finding the Third Proportional to 472,270 and 1,019,167

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Solution

The third proportional to 472,270 and 1,019,167 is: 2,199,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,270 : 1,019,167 = 1,019,167 : x
  2. Step 2: Convert to fraction form
    472,270/1,019,167 = 1,019,167/x
  3. Step 3: Cross multiply
    472,270x = 1,019,167 × 1,019,167
  4. Step 4: Simplify right side
    472,270x = 1,038,701,373,889
  5. Step 5: Solve for x
    x = 1,038,701,373,889/472,270
  6. Step 6: Final answer
    x = 2,199,380.38

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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.