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Finding the Third Proportional to 820,049 and 1,774,883

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Solution

The third proportional to 820,049 and 1,774,883 is: 3,841,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,049 : 1,774,883 = 1,774,883 : x
  2. Step 2: Convert to fraction form
    820,049/1,774,883 = 1,774,883/x
  3. Step 3: Cross multiply
    820,049x = 1,774,883 × 1,774,883
  4. Step 4: Simplify right side
    820,049x = 3,150,209,663,689
  5. Step 5: Solve for x
    x = 3,150,209,663,689/820,049
  6. Step 6: Final answer
    x = 3,841,489.55

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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.