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Finding the Third Proportional to 437,616 and 941,760

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Solution

The third proportional to 437,616 and 941,760 is: 2,026,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,616 : 941,760 = 941,760 : x
  2. Step 2: Convert to fraction form
    437,616/941,760 = 941,760/x
  3. Step 3: Cross multiply
    437,616x = 941,760 × 941,760
  4. Step 4: Simplify right side
    437,616x = 886,911,897,600
  5. Step 5: Solve for x
    x = 886,911,897,600/437,616
  6. Step 6: Final answer
    x = 2,026,689.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.