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Finding the Third Proportional to 997,296 and 2,181,540

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Solution

The third proportional to 997,296 and 2,181,540 is: 4,772,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,296 : 2,181,540 = 2,181,540 : x
  2. Step 2: Convert to fraction form
    997,296/2,181,540 = 2,181,540/x
  3. Step 3: Cross multiply
    997,296x = 2,181,540 × 2,181,540
  4. Step 4: Simplify right side
    997,296x = 4,759,116,771,600
  5. Step 5: Solve for x
    x = 4,759,116,771,600/997,296
  6. Step 6: Final answer
    x = 4,772,020.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.