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Finding the Third Proportional to 612,759 and 1,296,174

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Solution

The third proportional to 612,759 and 1,296,174 is: 2,741,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,759 : 1,296,174 = 1,296,174 : x
  2. Step 2: Convert to fraction form
    612,759/1,296,174 = 1,296,174/x
  3. Step 3: Cross multiply
    612,759x = 1,296,174 × 1,296,174
  4. Step 4: Simplify right side
    612,759x = 1,680,067,038,276
  5. Step 5: Solve for x
    x = 1,680,067,038,276/612,759
  6. Step 6: Final answer
    x = 2,741,807.20

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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.