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Finding the Third Proportional to 422,344 and 910,703

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Solution

The third proportional to 422,344 and 910,703 is: 1,963,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,344 : 910,703 = 910,703 : x
  2. Step 2: Convert to fraction form
    422,344/910,703 = 910,703/x
  3. Step 3: Cross multiply
    422,344x = 910,703 × 910,703
  4. Step 4: Simplify right side
    422,344x = 829,379,954,209
  5. Step 5: Solve for x
    x = 829,379,954,209/422,344
  6. Step 6: Final answer
    x = 1,963,754.56

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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.