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Finding the Third Proportional to 917,388 and 2,072,616

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Solution

The third proportional to 917,388 and 2,072,616 is: 4,682,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,388 : 2,072,616 = 2,072,616 : x
  2. Step 2: Convert to fraction form
    917,388/2,072,616 = 2,072,616/x
  3. Step 3: Cross multiply
    917,388x = 2,072,616 × 2,072,616
  4. Step 4: Simplify right side
    917,388x = 4,295,737,083,456
  5. Step 5: Solve for x
    x = 4,295,737,083,456/917,388
  6. Step 6: Final answer
    x = 4,682,573.88

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.