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Finding the Third Proportional to 493,366 and 1,069,676

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Solution

The third proportional to 493,366 and 1,069,676 is: 2,319,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,366 : 1,069,676 = 1,069,676 : x
  2. Step 2: Convert to fraction form
    493,366/1,069,676 = 1,069,676/x
  3. Step 3: Cross multiply
    493,366x = 1,069,676 × 1,069,676
  4. Step 4: Simplify right side
    493,366x = 1,144,206,744,976
  5. Step 5: Solve for x
    x = 1,144,206,744,976/493,366
  6. Step 6: Final answer
    x = 2,319,184.43

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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.