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Finding the Third Proportional to 1,941,966 and 2,972,086

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Solution

The third proportional to 1,941,966 and 2,972,086 is: 4,548,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941,966 : 2,972,086 = 2,972,086 : x
  2. Step 2: Convert to fraction form
    1,941,966/2,972,086 = 2,972,086/x
  3. Step 3: Cross multiply
    1,941,966x = 2,972,086 × 2,972,086
  4. Step 4: Simplify right side
    1,941,966x = 8,833,295,191,396
  5. Step 5: Solve for x
    x = 8,833,295,191,396/1,941,966
  6. Step 6: Final answer
    x = 4,548,635.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.