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Finding the Third Proportional to 411,796 and 962,057

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Solution

The third proportional to 411,796 and 962,057 is: 2,247,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,796 : 962,057 = 962,057 : x
  2. Step 2: Convert to fraction form
    411,796/962,057 = 962,057/x
  3. Step 3: Cross multiply
    411,796x = 962,057 × 962,057
  4. Step 4: Simplify right side
    411,796x = 925,553,671,249
  5. Step 5: Solve for x
    x = 925,553,671,249/411,796
  6. Step 6: Final answer
    x = 2,247,602.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.