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Finding the Third Proportional to 940,774 and 1,413,279

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Solution

The third proportional to 940,774 and 1,413,279 is: 2,123,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,774 : 1,413,279 = 1,413,279 : x
  2. Step 2: Convert to fraction form
    940,774/1,413,279 = 1,413,279/x
  3. Step 3: Cross multiply
    940,774x = 1,413,279 × 1,413,279
  4. Step 4: Simplify right side
    940,774x = 1,997,357,531,841
  5. Step 5: Solve for x
    x = 1,997,357,531,841/940,774
  6. Step 6: Final answer
    x = 2,123,100.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.