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Finding the Third Proportional to 757,566 and 1,664,577

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Solution

The third proportional to 757,566 and 1,664,577 is: 3,657,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,566 : 1,664,577 = 1,664,577 : x
  2. Step 2: Convert to fraction form
    757,566/1,664,577 = 1,664,577/x
  3. Step 3: Cross multiply
    757,566x = 1,664,577 × 1,664,577
  4. Step 4: Simplify right side
    757,566x = 2,770,816,588,929
  5. Step 5: Solve for x
    x = 2,770,816,588,929/757,566
  6. Step 6: Final answer
    x = 3,657,525.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.