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Finding the Third Proportional to 1,228,741.88 and 1,923,302.81

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Solution

The third proportional to 1,228,741.88 and 1,923,302.81 is: 3,010,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,741.88 : 1,923,302.81 = 1,923,302.81 : x
  2. Step 2: Convert to fraction form
    1,228,741.88/1,923,302.81 = 1,923,302.81/x
  3. Step 3: Cross multiply
    1,228,741.88x = 1,923,302.81 × 1,923,302.81
  4. Step 4: Simplify right side
    1,228,741.88x = 3,699,093,708,570.41
  5. Step 5: Solve for x
    x = 3,699,093,708,570.41/1,228,741.88
  6. Step 6: Final answer
    x = 3,010,472.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.