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Finding the Third Proportional to 820,047.38 and 1,774,878.75

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Solution

The third proportional to 820,047.38 and 1,774,878.75 is: 3,841,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,047.38 : 1,774,878.75 = 1,774,878.75 : x
  2. Step 2: Convert to fraction form
    820,047.38/1,774,878.75 = 1,774,878.75/x
  3. Step 3: Cross multiply
    820,047.38x = 1,774,878.75 × 1,774,878.75
  4. Step 4: Simplify right side
    820,047.38x = 3,150,194,577,201.56
  5. Step 5: Solve for x
    x = 3,150,194,577,201.56/820,047.38
  6. Step 6: Final answer
    x = 3,841,478.76

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Why These Related Problems?

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