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Finding the Third Proportional to 653,622 and 900,075

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Solution

The third proportional to 653,622 and 900,075 is: 1,239,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,622 : 900,075 = 900,075 : x
  2. Step 2: Convert to fraction form
    653,622/900,075 = 900,075/x
  3. Step 3: Cross multiply
    653,622x = 900,075 × 900,075
  4. Step 4: Simplify right side
    653,622x = 810,135,005,625
  5. Step 5: Solve for x
    x = 810,135,005,625/653,622
  6. Step 6: Final answer
    x = 1,239,454.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.