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Finding the Third Proportional to 612,758 and 1,296,172

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Solution

The third proportional to 612,758 and 1,296,172 is: 2,741,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,758 : 1,296,172 = 1,296,172 : x
  2. Step 2: Convert to fraction form
    612,758/1,296,172 = 1,296,172/x
  3. Step 3: Cross multiply
    612,758x = 1,296,172 × 1,296,172
  4. Step 4: Simplify right side
    612,758x = 1,680,061,853,584
  5. Step 5: Solve for x
    x = 1,680,061,853,584/612,758
  6. Step 6: Final answer
    x = 2,741,803.21

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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.