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Finding the Third Proportional to 504,103.50 and 1,054,950.75

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Solution

The third proportional to 504,103.50 and 1,054,950.75 is: 2,207,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,103.50 : 1,054,950.75 = 1,054,950.75 : x
  2. Step 2: Convert to fraction form
    504,103.50/1,054,950.75 = 1,054,950.75/x
  3. Step 3: Cross multiply
    504,103.50x = 1,054,950.75 × 1,054,950.75
  4. Step 4: Simplify right side
    504,103.50x = 1,112,921,084,925.56
  5. Step 5: Solve for x
    x = 1,112,921,084,925.56/504,103.50
  6. Step 6: Final answer
    x = 2,207,723.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.