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Finding the Third Proportional to 472,179 and 1,011,672

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Solution

The third proportional to 472,179 and 1,011,672 is: 2,167,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,179 : 1,011,672 = 1,011,672 : x
  2. Step 2: Convert to fraction form
    472,179/1,011,672 = 1,011,672/x
  3. Step 3: Cross multiply
    472,179x = 1,011,672 × 1,011,672
  4. Step 4: Simplify right side
    472,179x = 1,023,480,235,584
  5. Step 5: Solve for x
    x = 1,023,480,235,584/472,179
  6. Step 6: Final answer
    x = 2,167,568.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.