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Finding the Third Proportional to 851,384 and 1,835,644

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Solution

The third proportional to 851,384 and 1,835,644 is: 3,957,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,384 : 1,835,644 = 1,835,644 : x
  2. Step 2: Convert to fraction form
    851,384/1,835,644 = 1,835,644/x
  3. Step 3: Cross multiply
    851,384x = 1,835,644 × 1,835,644
  4. Step 4: Simplify right side
    851,384x = 3,369,588,894,736
  5. Step 5: Solve for x
    x = 3,369,588,894,736/851,384
  6. Step 6: Final answer
    x = 3,957,778.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.