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Finding the Third Proportional to 432,326 and 944,922

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Solution

The third proportional to 432,326 and 944,922 is: 2,065,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,326 : 944,922 = 944,922 : x
  2. Step 2: Convert to fraction form
    432,326/944,922 = 944,922/x
  3. Step 3: Cross multiply
    432,326x = 944,922 × 944,922
  4. Step 4: Simplify right side
    432,326x = 892,877,586,084
  5. Step 5: Solve for x
    x = 892,877,586,084/432,326
  6. Step 6: Final answer
    x = 2,065,287.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.