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Finding the Third Proportional to 429,326 and 941,596

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Solution

The third proportional to 429,326 and 941,596 is: 2,065,104.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,326 : 941,596 = 941,596 : x
  2. Step 2: Convert to fraction form
    429,326/941,596 = 941,596/x
  3. Step 3: Cross multiply
    429,326x = 941,596 × 941,596
  4. Step 4: Simplify right side
    429,326x = 886,603,027,216
  5. Step 5: Solve for x
    x = 886,603,027,216/429,326
  6. Step 6: Final answer
    x = 2,065,104.44

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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.