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Finding the Third Proportional to 445,776 and 962,616

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Solution

The third proportional to 445,776 and 962,616 is: 2,078,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,776 : 962,616 = 962,616 : x
  2. Step 2: Convert to fraction form
    445,776/962,616 = 962,616/x
  3. Step 3: Cross multiply
    445,776x = 962,616 × 962,616
  4. Step 4: Simplify right side
    445,776x = 926,629,563,456
  5. Step 5: Solve for x
    x = 926,629,563,456/445,776
  6. Step 6: Final answer
    x = 2,078,688.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.