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Finding the Third Proportional to 940,822 and 1,413,351

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Solution

The third proportional to 940,822 and 1,413,351 is: 2,123,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,822 : 1,413,351 = 1,413,351 : x
  2. Step 2: Convert to fraction form
    940,822/1,413,351 = 1,413,351/x
  3. Step 3: Cross multiply
    940,822x = 1,413,351 × 1,413,351
  4. Step 4: Simplify right side
    940,822x = 1,997,561,049,201
  5. Step 5: Solve for x
    x = 1,997,561,049,201/940,822
  6. Step 6: Final answer
    x = 2,123,208.27

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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.