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Finding the Third Proportional to 917,856 and 1,945,107

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Solution

The third proportional to 917,856 and 1,945,107 is: 4,122,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,856 : 1,945,107 = 1,945,107 : x
  2. Step 2: Convert to fraction form
    917,856/1,945,107 = 1,945,107/x
  3. Step 3: Cross multiply
    917,856x = 1,945,107 × 1,945,107
  4. Step 4: Simplify right side
    917,856x = 3,783,441,241,449
  5. Step 5: Solve for x
    x = 3,783,441,241,449/917,856
  6. Step 6: Final answer
    x = 4,122,042.28

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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.