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Finding the Third Proportional to 820,046 and 1,798,015

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Solution

The third proportional to 820,046 and 1,798,015 is: 3,942,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,046 : 1,798,015 = 1,798,015 : x
  2. Step 2: Convert to fraction form
    820,046/1,798,015 = 1,798,015/x
  3. Step 3: Cross multiply
    820,046x = 1,798,015 × 1,798,015
  4. Step 4: Simplify right side
    820,046x = 3,232,857,940,225
  5. Step 5: Solve for x
    x = 3,232,857,940,225/820,046
  6. Step 6: Final answer
    x = 3,942,288.53

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