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Finding the Third Proportional to 422,918 and 952,300

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Solution

The third proportional to 422,918 and 952,300 is: 2,144,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,918 : 952,300 = 952,300 : x
  2. Step 2: Convert to fraction form
    422,918/952,300 = 952,300/x
  3. Step 3: Cross multiply
    422,918x = 952,300 × 952,300
  4. Step 4: Simplify right side
    422,918x = 906,875,290,000
  5. Step 5: Solve for x
    x = 906,875,290,000/422,918
  6. Step 6: Final answer
    x = 2,144,328.90

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.