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Finding the Third Proportional to 997,654 and 2,181,932

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Solution

The third proportional to 997,654 and 2,181,932 is: 4,772,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,654 : 2,181,932 = 2,181,932 : x
  2. Step 2: Convert to fraction form
    997,654/2,181,932 = 2,181,932/x
  3. Step 3: Cross multiply
    997,654x = 2,181,932 × 2,181,932
  4. Step 4: Simplify right side
    997,654x = 4,760,827,252,624
  5. Step 5: Solve for x
    x = 4,760,827,252,624/997,654
  6. Step 6: Final answer
    x = 4,772,022.42

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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.