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Finding the Third Proportional to 1,292,514 and 2,760,966

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Solution

The third proportional to 1,292,514 and 2,760,966 is: 5,897,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,514 : 2,760,966 = 2,760,966 : x
  2. Step 2: Convert to fraction form
    1,292,514/2,760,966 = 2,760,966/x
  3. Step 3: Cross multiply
    1,292,514x = 2,760,966 × 2,760,966
  4. Step 4: Simplify right side
    1,292,514x = 7,622,933,253,156
  5. Step 5: Solve for x
    x = 7,622,933,253,156/1,292,514
  6. Step 6: Final answer
    x = 5,897,756.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.