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Finding the Third Proportional to 1,776,907.50 and 2,729,524.88

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Solution

The third proportional to 1,776,907.50 and 2,729,524.88 is: 4,192,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,907.50 : 2,729,524.88 = 2,729,524.88 : x
  2. Step 2: Convert to fraction form
    1,776,907.50/2,729,524.88 = 2,729,524.88/x
  3. Step 3: Cross multiply
    1,776,907.50x = 2,729,524.88 × 2,729,524.88
  4. Step 4: Simplify right side
    1,776,907.50x = 7,450,306,043,243.77
  5. Step 5: Solve for x
    x = 7,450,306,043,243.77/1,776,907.50
  6. Step 6: Final answer
    x = 4,192,849.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.