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Finding the Third Proportional to 1,525,075.50 and 2,203,653

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Solution

The third proportional to 1,525,075.50 and 2,203,653 is: 3,184,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,075.50 : 2,203,653 = 2,203,653 : x
  2. Step 2: Convert to fraction form
    1,525,075.50/2,203,653 = 2,203,653/x
  3. Step 3: Cross multiply
    1,525,075.50x = 2,203,653 × 2,203,653
  4. Step 4: Simplify right side
    1,525,075.50x = 4,856,086,544,409
  5. Step 5: Solve for x
    x = 4,856,086,544,409/1,525,075.50
  6. Step 6: Final answer
    x = 3,184,161.40

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.