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Finding the Third Proportional to 671,248 and 1,420,256

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Solution

The third proportional to 671,248 and 1,420,256 is: 3,005,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,248 : 1,420,256 = 1,420,256 : x
  2. Step 2: Convert to fraction form
    671,248/1,420,256 = 1,420,256/x
  3. Step 3: Cross multiply
    671,248x = 1,420,256 × 1,420,256
  4. Step 4: Simplify right side
    671,248x = 2,017,127,105,536
  5. Step 5: Solve for x
    x = 2,017,127,105,536/671,248
  6. Step 6: Final answer
    x = 3,005,040.02

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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.