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Finding the Third Proportional to 1,002,012.75 and 1,552,165.88

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Solution

The third proportional to 1,002,012.75 and 1,552,165.88 is: 2,404,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,012.75 : 1,552,165.88 = 1,552,165.88 : x
  2. Step 2: Convert to fraction form
    1,002,012.75/1,552,165.88 = 1,552,165.88/x
  3. Step 3: Cross multiply
    1,002,012.75x = 1,552,165.88 × 1,552,165.88
  4. Step 4: Simplify right side
    1,002,012.75x = 2,409,218,903,514.52
  5. Step 5: Solve for x
    x = 2,409,218,903,514.52/1,002,012.75
  6. Step 6: Final answer
    x = 2,404,379.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.