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Finding the Third Proportional to 439,120 and 944,816

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Solution

The third proportional to 439,120 and 944,816 is: 2,032,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,120 : 944,816 = 944,816 : x
  2. Step 2: Convert to fraction form
    439,120/944,816 = 944,816/x
  3. Step 3: Cross multiply
    439,120x = 944,816 × 944,816
  4. Step 4: Simplify right side
    439,120x = 892,677,273,856
  5. Step 5: Solve for x
    x = 892,677,273,856/439,120
  6. Step 6: Final answer
    x = 2,032,877.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.