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Finding the Third Proportional to 671,242 and 1,420,244

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Solution

The third proportional to 671,242 and 1,420,244 is: 3,005,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,242 : 1,420,244 = 1,420,244 : x
  2. Step 2: Convert to fraction form
    671,242/1,420,244 = 1,420,244/x
  3. Step 3: Cross multiply
    671,242x = 1,420,244 × 1,420,244
  4. Step 4: Simplify right side
    671,242x = 2,017,093,019,536
  5. Step 5: Solve for x
    x = 2,017,093,019,536/671,242
  6. Step 6: Final answer
    x = 3,005,016.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.