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Finding the Third Proportional to 690,816 and 1,065,756

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Solution

The third proportional to 690,816 and 1,065,756 is: 1,644,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,816 : 1,065,756 = 1,065,756 : x
  2. Step 2: Convert to fraction form
    690,816/1,065,756 = 1,065,756/x
  3. Step 3: Cross multiply
    690,816x = 1,065,756 × 1,065,756
  4. Step 4: Simplify right side
    690,816x = 1,135,835,851,536
  5. Step 5: Solve for x
    x = 1,135,835,851,536/690,816
  6. Step 6: Final answer
    x = 1,644,194.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.