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Finding the Third Proportional to 2,369,192 and 3,464,932

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Solution

The third proportional to 2,369,192 and 3,464,932 is: 5,067,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,192 : 3,464,932 = 3,464,932 : x
  2. Step 2: Convert to fraction form
    2,369,192/3,464,932 = 3,464,932/x
  3. Step 3: Cross multiply
    2,369,192x = 3,464,932 × 3,464,932
  4. Step 4: Simplify right side
    2,369,192x = 12,005,753,764,624
  5. Step 5: Solve for x
    x = 12,005,753,764,624/2,369,192
  6. Step 6: Final answer
    x = 5,067,446.52

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Why These Related Problems?

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