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Finding the Third Proportional to 441,312 and 944,832

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Solution

The third proportional to 441,312 and 944,832 is: 2,022,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,312 : 944,832 = 944,832 : x
  2. Step 2: Convert to fraction form
    441,312/944,832 = 944,832/x
  3. Step 3: Cross multiply
    441,312x = 944,832 × 944,832
  4. Step 4: Simplify right side
    441,312x = 892,707,508,224
  5. Step 5: Solve for x
    x = 892,707,508,224/441,312
  6. Step 6: Final answer
    x = 2,022,848.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.