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Finding the Third Proportional to 856,728 and 1,904,940

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Solution

The third proportional to 856,728 and 1,904,940 is: 4,235,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,728 : 1,904,940 = 1,904,940 : x
  2. Step 2: Convert to fraction form
    856,728/1,904,940 = 1,904,940/x
  3. Step 3: Cross multiply
    856,728x = 1,904,940 × 1,904,940
  4. Step 4: Simplify right side
    856,728x = 3,628,796,403,600
  5. Step 5: Solve for x
    x = 3,628,796,403,600/856,728
  6. Step 6: Final answer
    x = 4,235,645.86

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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.