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Finding the Third Proportional to 820,275 and 1,284,174

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Solution

The third proportional to 820,275 and 1,284,174 is: 2,010,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,275 : 1,284,174 = 1,284,174 : x
  2. Step 2: Convert to fraction form
    820,275/1,284,174 = 1,284,174/x
  3. Step 3: Cross multiply
    820,275x = 1,284,174 × 1,284,174
  4. Step 4: Simplify right side
    820,275x = 1,649,102,862,276
  5. Step 5: Solve for x
    x = 1,649,102,862,276/820,275
  6. Step 6: Final answer
    x = 2,010,426.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.