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Finding the Third Proportional to 681,300 and 1,057,927

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Solution

The third proportional to 681,300 and 1,057,927 is: 1,642,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,300 : 1,057,927 = 1,057,927 : x
  2. Step 2: Convert to fraction form
    681,300/1,057,927 = 1,057,927/x
  3. Step 3: Cross multiply
    681,300x = 1,057,927 × 1,057,927
  4. Step 4: Simplify right side
    681,300x = 1,119,209,537,329
  5. Step 5: Solve for x
    x = 1,119,209,537,329/681,300
  6. Step 6: Final answer
    x = 1,642,755.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.