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Finding the Third Proportional to 681,948 and 1,069,770

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Solution

The third proportional to 681,948 and 1,069,770 is: 1,678,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,948 : 1,069,770 = 1,069,770 : x
  2. Step 2: Convert to fraction form
    681,948/1,069,770 = 1,069,770/x
  3. Step 3: Cross multiply
    681,948x = 1,069,770 × 1,069,770
  4. Step 4: Simplify right side
    681,948x = 1,144,407,852,900
  5. Step 5: Solve for x
    x = 1,144,407,852,900/681,948
  6. Step 6: Final answer
    x = 1,678,145.33

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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.