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Finding the Third Proportional to 689,960 and 1,065,708

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Solution

The third proportional to 689,960 and 1,065,708 is: 1,646,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,960 : 1,065,708 = 1,065,708 : x
  2. Step 2: Convert to fraction form
    689,960/1,065,708 = 1,065,708/x
  3. Step 3: Cross multiply
    689,960x = 1,065,708 × 1,065,708
  4. Step 4: Simplify right side
    689,960x = 1,135,733,541,264
  5. Step 5: Solve for x
    x = 1,135,733,541,264/689,960
  6. Step 6: Final answer
    x = 1,646,086.06

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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.