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Finding the Third Proportional to 610,874 and 1,263,652

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Solution

The third proportional to 610,874 and 1,263,652 is: 2,613,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,874 : 1,263,652 = 1,263,652 : x
  2. Step 2: Convert to fraction form
    610,874/1,263,652 = 1,263,652/x
  3. Step 3: Cross multiply
    610,874x = 1,263,652 × 1,263,652
  4. Step 4: Simplify right side
    610,874x = 1,596,816,377,104
  5. Step 5: Solve for x
    x = 1,596,816,377,104/610,874
  6. Step 6: Final answer
    x = 2,613,986.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.