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Finding the Third Proportional to 820,056 and 1,774,896

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Solution

The third proportional to 820,056 and 1,774,896 is: 3,841,513.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,056 : 1,774,896 = 1,774,896 : x
  2. Step 2: Convert to fraction form
    820,056/1,774,896 = 1,774,896/x
  3. Step 3: Cross multiply
    820,056x = 1,774,896 × 1,774,896
  4. Step 4: Simplify right side
    820,056x = 3,150,255,810,816
  5. Step 5: Solve for x
    x = 3,150,255,810,816/820,056
  6. Step 6: Final answer
    x = 3,841,513.03

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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.