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Finding the Third Proportional to 940,610 and 1,419,395

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Solution

The third proportional to 940,610 and 1,419,395 is: 2,141,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,610 : 1,419,395 = 1,419,395 : x
  2. Step 2: Convert to fraction form
    940,610/1,419,395 = 1,419,395/x
  3. Step 3: Cross multiply
    940,610x = 1,419,395 × 1,419,395
  4. Step 4: Simplify right side
    940,610x = 2,014,682,166,025
  5. Step 5: Solve for x
    x = 2,014,682,166,025/940,610
  6. Step 6: Final answer
    x = 2,141,888.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.