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Finding the Third Proportional to 612,762 and 1,296,180

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Solution

The third proportional to 612,762 and 1,296,180 is: 2,741,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,762 : 1,296,180 = 1,296,180 : x
  2. Step 2: Convert to fraction form
    612,762/1,296,180 = 1,296,180/x
  3. Step 3: Cross multiply
    612,762x = 1,296,180 × 1,296,180
  4. Step 4: Simplify right side
    612,762x = 1,680,082,592,400
  5. Step 5: Solve for x
    x = 1,680,082,592,400/612,762
  6. Step 6: Final answer
    x = 2,741,819.16

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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.