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Finding the Third Proportional to 820,696 and 1,852,124

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Solution

The third proportional to 820,696 and 1,852,124 is: 4,179,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,696 : 1,852,124 = 1,852,124 : x
  2. Step 2: Convert to fraction form
    820,696/1,852,124 = 1,852,124/x
  3. Step 3: Cross multiply
    820,696x = 1,852,124 × 1,852,124
  4. Step 4: Simplify right side
    820,696x = 3,430,363,311,376
  5. Step 5: Solve for x
    x = 3,430,363,311,376/820,696
  6. Step 6: Final answer
    x = 4,179,822.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.