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Finding the Third Proportional to 1,502,367.75 and 3,183,512.63

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Solution

The third proportional to 1,502,367.75 and 3,183,512.63 is: 6,745,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502,367.75 : 3,183,512.63 = 3,183,512.63 : x
  2. Step 2: Convert to fraction form
    1,502,367.75/3,183,512.63 = 3,183,512.63/x
  3. Step 3: Cross multiply
    1,502,367.75x = 3,183,512.63 × 3,183,512.63
  4. Step 4: Simplify right side
    1,502,367.75x = 10,134,752,633,534.39
  5. Step 5: Solve for x
    x = 10,134,752,633,534.39/1,502,367.75
  6. Step 6: Final answer
    x = 6,745,853.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.