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Finding the Third Proportional to 856,542 and 1,904,580

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Solution

The third proportional to 856,542 and 1,904,580 is: 4,234,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,542 : 1,904,580 = 1,904,580 : x
  2. Step 2: Convert to fraction form
    856,542/1,904,580 = 1,904,580/x
  3. Step 3: Cross multiply
    856,542x = 1,904,580 × 1,904,580
  4. Step 4: Simplify right side
    856,542x = 3,627,424,976,400
  5. Step 5: Solve for x
    x = 3,627,424,976,400/856,542
  6. Step 6: Final answer
    x = 4,234,964.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.