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Finding the Third Proportional to 492,160 and 1,069,694

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Solution

The third proportional to 492,160 and 1,069,694 is: 2,324,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,160 : 1,069,694 = 1,069,694 : x
  2. Step 2: Convert to fraction form
    492,160/1,069,694 = 1,069,694/x
  3. Step 3: Cross multiply
    492,160x = 1,069,694 × 1,069,694
  4. Step 4: Simplify right side
    492,160x = 1,144,245,253,636
  5. Step 5: Solve for x
    x = 1,144,245,253,636/492,160
  6. Step 6: Final answer
    x = 2,324,945.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.