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Finding the Third Proportional to 2,101,625 and 4,453,141

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Solution

The third proportional to 2,101,625 and 4,453,141 is: 9,435,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,625 : 4,453,141 = 4,453,141 : x
  2. Step 2: Convert to fraction form
    2,101,625/4,453,141 = 4,453,141/x
  3. Step 3: Cross multiply
    2,101,625x = 4,453,141 × 4,453,141
  4. Step 4: Simplify right side
    2,101,625x = 19,830,464,765,881
  5. Step 5: Solve for x
    x = 19,830,464,765,881/2,101,625
  6. Step 6: Final answer
    x = 9,435,776.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.