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Finding the Third Proportional to 466,616 and 999,324

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Solution

The third proportional to 466,616 and 999,324 is: 2,140,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,616 : 999,324 = 999,324 : x
  2. Step 2: Convert to fraction form
    466,616/999,324 = 999,324/x
  3. Step 3: Cross multiply
    466,616x = 999,324 × 999,324
  4. Step 4: Simplify right side
    466,616x = 998,648,456,976
  5. Step 5: Solve for x
    x = 998,648,456,976/466,616
  6. Step 6: Final answer
    x = 2,140,193.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.