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Finding the Third Proportional to 422,714 and 997,290

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Solution

The third proportional to 422,714 and 997,290 is: 2,352,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,714 : 997,290 = 997,290 : x
  2. Step 2: Convert to fraction form
    422,714/997,290 = 997,290/x
  3. Step 3: Cross multiply
    422,714x = 997,290 × 997,290
  4. Step 4: Simplify right side
    422,714x = 994,587,344,100
  5. Step 5: Solve for x
    x = 994,587,344,100/422,714
  6. Step 6: Final answer
    x = 2,352,861.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.