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Finding the Third Proportional to 686,448 and 1,050,096

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Solution

The third proportional to 686,448 and 1,050,096 is: 1,606,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,448 : 1,050,096 = 1,050,096 : x
  2. Step 2: Convert to fraction form
    686,448/1,050,096 = 1,050,096/x
  3. Step 3: Cross multiply
    686,448x = 1,050,096 × 1,050,096
  4. Step 4: Simplify right side
    686,448x = 1,102,701,609,216
  5. Step 5: Solve for x
    x = 1,102,701,609,216/686,448
  6. Step 6: Final answer
    x = 1,606,387.68

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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.