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Finding the Third Proportional to 2,708,857.69 and 3,714,506.44

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Solution

The third proportional to 2,708,857.69 and 3,714,506.44 is: 5,093,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,857.69 : 3,714,506.44 = 3,714,506.44 : x
  2. Step 2: Convert to fraction form
    2,708,857.69/3,714,506.44 = 3,714,506.44/x
  3. Step 3: Cross multiply
    2,708,857.69x = 3,714,506.44 × 3,714,506.44
  4. Step 4: Simplify right side
    2,708,857.69x = 13,797,558,074,228.94
  5. Step 5: Solve for x
    x = 13,797,558,074,228.94/2,708,857.69
  6. Step 6: Final answer
    x = 5,093,496.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.