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Finding the Third Proportional to 3,828,563.72 and 5,931,075.66

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Solution

The third proportional to 3,828,563.72 and 5,931,075.66 is: 9,188,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828,563.72 : 5,931,075.66 = 5,931,075.66 : x
  2. Step 2: Convert to fraction form
    3,828,563.72/5,931,075.66 = 5,931,075.66/x
  3. Step 3: Cross multiply
    3,828,563.72x = 5,931,075.66 × 5,931,075.66
  4. Step 4: Simplify right side
    3,828,563.72x = 35,177,658,440,161.37
  5. Step 5: Solve for x
    x = 35,177,658,440,161.37/3,828,563.72
  6. Step 6: Final answer
    x = 9,188,212.87

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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.