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Finding the Third Proportional to 426,482 and 905,446

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Solution

The third proportional to 426,482 and 905,446 is: 1,922,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,482 : 905,446 = 905,446 : x
  2. Step 2: Convert to fraction form
    426,482/905,446 = 905,446/x
  3. Step 3: Cross multiply
    426,482x = 905,446 × 905,446
  4. Step 4: Simplify right side
    426,482x = 819,832,458,916
  5. Step 5: Solve for x
    x = 819,832,458,916/426,482
  6. Step 6: Final answer
    x = 1,922,314.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.