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Finding the Third Proportional to 872,208 and 1,930,944

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Solution

The third proportional to 872,208 and 1,930,944 is: 4,274,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,208 : 1,930,944 = 1,930,944 : x
  2. Step 2: Convert to fraction form
    872,208/1,930,944 = 1,930,944/x
  3. Step 3: Cross multiply
    872,208x = 1,930,944 × 1,930,944
  4. Step 4: Simplify right side
    872,208x = 3,728,544,731,136
  5. Step 5: Solve for x
    x = 3,728,544,731,136/872,208
  6. Step 6: Final answer
    x = 4,274,834.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.