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Finding the Third Proportional to 4,520,383 and 6,822,610

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Solution

The third proportional to 4,520,383 and 6,822,610 is: 10,297,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520,383 : 6,822,610 = 6,822,610 : x
  2. Step 2: Convert to fraction form
    4,520,383/6,822,610 = 6,822,610/x
  3. Step 3: Cross multiply
    4,520,383x = 6,822,610 × 6,822,610
  4. Step 4: Simplify right side
    4,520,383x = 46,548,007,212,100
  5. Step 5: Solve for x
    x = 46,548,007,212,100/4,520,383
  6. Step 6: Final answer
    x = 10,297,359.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.