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Finding the Third Proportional to 1,297,437.75 and 1,935,415.27

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Solution

The third proportional to 1,297,437.75 and 1,935,415.27 is: 2,887,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,437.75 : 1,935,415.27 = 1,935,415.27 : x
  2. Step 2: Convert to fraction form
    1,297,437.75/1,935,415.27 = 1,935,415.27/x
  3. Step 3: Cross multiply
    1,297,437.75x = 1,935,415.27 × 1,935,415.27
  4. Step 4: Simplify right side
    1,297,437.75x = 3,745,832,250,414.29
  5. Step 5: Solve for x
    x = 3,745,832,250,414.29/1,297,437.75
  6. Step 6: Final answer
    x = 2,887,099.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.