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Finding the Third Proportional to 962,280 and 2,109,822.82

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Solution

The third proportional to 962,280 and 2,109,822.82 is: 4,625,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,280 : 2,109,822.82 = 2,109,822.82 : x
  2. Step 2: Convert to fraction form
    962,280/2,109,822.82 = 2,109,822.82/x
  3. Step 3: Cross multiply
    962,280x = 2,109,822.82 × 2,109,822.82
  4. Step 4: Simplify right side
    962,280x = 4,451,352,333,110.97
  5. Step 5: Solve for x
    x = 4,451,352,333,110.97/962,280
  6. Step 6: Final answer
    x = 4,625,838.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.