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Finding the Third Proportional to 940,126 and 1,370,814

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Solution

The third proportional to 940,126 and 1,370,814 is: 1,998,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,126 : 1,370,814 = 1,370,814 : x
  2. Step 2: Convert to fraction form
    940,126/1,370,814 = 1,370,814/x
  3. Step 3: Cross multiply
    940,126x = 1,370,814 × 1,370,814
  4. Step 4: Simplify right side
    940,126x = 1,879,131,022,596
  5. Step 5: Solve for x
    x = 1,879,131,022,596/940,126
  6. Step 6: Final answer
    x = 1,998,807.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.