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Finding the Third Proportional to 686,727.44 and 1,010,244.81

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Solution

The third proportional to 686,727.44 and 1,010,244.81 is: 1,486,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,727.44 : 1,010,244.81 = 1,010,244.81 : x
  2. Step 2: Convert to fraction form
    686,727.44/1,010,244.81 = 1,010,244.81/x
  3. Step 3: Cross multiply
    686,727.44x = 1,010,244.81 × 1,010,244.81
  4. Step 4: Simplify right side
    686,727.44x = 1,020,594,581,183.16
  5. Step 5: Solve for x
    x = 1,020,594,581,183.16/686,727.44
  6. Step 6: Final answer
    x = 1,486,171.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.