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Finding the Third Proportional to 827,610 and 1,773,336

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Solution

The third proportional to 827,610 and 1,773,336 is: 3,799,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,610 : 1,773,336 = 1,773,336 : x
  2. Step 2: Convert to fraction form
    827,610/1,773,336 = 1,773,336/x
  3. Step 3: Cross multiply
    827,610x = 1,773,336 × 1,773,336
  4. Step 4: Simplify right side
    827,610x = 3,144,720,568,896
  5. Step 5: Solve for x
    x = 3,144,720,568,896/827,610
  6. Step 6: Final answer
    x = 3,799,761.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.