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Finding the Third Proportional to 2,169,927 and 4,753,224

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Solution

The third proportional to 2,169,927 and 4,753,224 is: 10,411,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,927 : 4,753,224 = 4,753,224 : x
  2. Step 2: Convert to fraction form
    2,169,927/4,753,224 = 4,753,224/x
  3. Step 3: Cross multiply
    2,169,927x = 4,753,224 × 4,753,224
  4. Step 4: Simplify right side
    2,169,927x = 22,593,138,394,176
  5. Step 5: Solve for x
    x = 22,593,138,394,176/2,169,927
  6. Step 6: Final answer
    x = 10,411,934.78

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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.