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Finding the Third Proportional to 635,156 and 1,322,584

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Solution

The third proportional to 635,156 and 1,322,584 is: 2,754,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,156 : 1,322,584 = 1,322,584 : x
  2. Step 2: Convert to fraction form
    635,156/1,322,584 = 1,322,584/x
  3. Step 3: Cross multiply
    635,156x = 1,322,584 × 1,322,584
  4. Step 4: Simplify right side
    635,156x = 1,749,228,437,056
  5. Step 5: Solve for x
    x = 1,749,228,437,056/635,156
  6. Step 6: Final answer
    x = 2,754,013.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.