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Finding the Third Proportional to 686,864 and 1,050,693

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Solution

The third proportional to 686,864 and 1,050,693 is: 1,607,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,864 : 1,050,693 = 1,050,693 : x
  2. Step 2: Convert to fraction form
    686,864/1,050,693 = 1,050,693/x
  3. Step 3: Cross multiply
    686,864x = 1,050,693 × 1,050,693
  4. Step 4: Simplify right side
    686,864x = 1,103,955,780,249
  5. Step 5: Solve for x
    x = 1,103,955,780,249/686,864
  6. Step 6: Final answer
    x = 1,607,240.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.