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Finding the Third Proportional to 1,265,092.44 and 2,754,807.63

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Solution

The third proportional to 1,265,092.44 and 2,754,807.63 is: 5,998,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,092.44 : 2,754,807.63 = 2,754,807.63 : x
  2. Step 2: Convert to fraction form
    1,265,092.44/2,754,807.63 = 2,754,807.63/x
  3. Step 3: Cross multiply
    1,265,092.44x = 2,754,807.63 × 2,754,807.63
  4. Step 4: Simplify right side
    1,265,092.44x = 7,588,965,050,758.14
  5. Step 5: Solve for x
    x = 7,588,965,050,758.14/1,265,092.44
  6. Step 6: Final answer
    x = 5,998,743.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.