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Finding the Third Proportional to 426,620 and 921,656

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Solution

The third proportional to 426,620 and 921,656 is: 1,991,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,620 : 921,656 = 921,656 : x
  2. Step 2: Convert to fraction form
    426,620/921,656 = 921,656/x
  3. Step 3: Cross multiply
    426,620x = 921,656 × 921,656
  4. Step 4: Simplify right side
    426,620x = 849,449,782,336
  5. Step 5: Solve for x
    x = 849,449,782,336/426,620
  6. Step 6: Final answer
    x = 1,991,115.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.