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Finding the Third Proportional to 941,238 and 1,414,002

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Solution

The third proportional to 941,238 and 1,414,002 is: 2,124,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,238 : 1,414,002 = 1,414,002 : x
  2. Step 2: Convert to fraction form
    941,238/1,414,002 = 1,414,002/x
  3. Step 3: Cross multiply
    941,238x = 1,414,002 × 1,414,002
  4. Step 4: Simplify right side
    941,238x = 1,999,401,656,004
  5. Step 5: Solve for x
    x = 1,999,401,656,004/941,238
  6. Step 6: Final answer
    x = 2,124,225.39

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