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Finding the Third Proportional to 820,054 and 1,774,892

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Solution

The third proportional to 820,054 and 1,774,892 is: 3,841,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,054 : 1,774,892 = 1,774,892 : x
  2. Step 2: Convert to fraction form
    820,054/1,774,892 = 1,774,892/x
  3. Step 3: Cross multiply
    820,054x = 1,774,892 × 1,774,892
  4. Step 4: Simplify right side
    820,054x = 3,150,241,611,664
  5. Step 5: Solve for x
    x = 3,150,241,611,664/820,054
  6. Step 6: Final answer
    x = 3,841,505.09

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