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Finding the Third Proportional to 927,348 and 1,977,192

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Solution

The third proportional to 927,348 and 1,977,192 is: 4,215,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,348 : 1,977,192 = 1,977,192 : x
  2. Step 2: Convert to fraction form
    927,348/1,977,192 = 1,977,192/x
  3. Step 3: Cross multiply
    927,348x = 1,977,192 × 1,977,192
  4. Step 4: Simplify right side
    927,348x = 3,909,288,204,864
  5. Step 5: Solve for x
    x = 3,909,288,204,864/927,348
  6. Step 6: Final answer
    x = 4,215,556.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.