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Finding the Third Proportional to 908,384 and 1,910,832

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Solution

The third proportional to 908,384 and 1,910,832 is: 4,019,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,384 : 1,910,832 = 1,910,832 : x
  2. Step 2: Convert to fraction form
    908,384/1,910,832 = 1,910,832/x
  3. Step 3: Cross multiply
    908,384x = 1,910,832 × 1,910,832
  4. Step 4: Simplify right side
    908,384x = 3,651,278,932,224
  5. Step 5: Solve for x
    x = 3,651,278,932,224/908,384
  6. Step 6: Final answer
    x = 4,019,532.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.