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Finding the Third Proportional to 822,512 and 1,904,004

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Solution

The third proportional to 822,512 and 1,904,004 is: 4,407,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,512 : 1,904,004 = 1,904,004 : x
  2. Step 2: Convert to fraction form
    822,512/1,904,004 = 1,904,004/x
  3. Step 3: Cross multiply
    822,512x = 1,904,004 × 1,904,004
  4. Step 4: Simplify right side
    822,512x = 3,625,231,232,016
  5. Step 5: Solve for x
    x = 3,625,231,232,016/822,512
  6. Step 6: Final answer
    x = 4,407,511.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.