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Finding the Third Proportional to 756,622 and 1,660,664

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Solution

The third proportional to 756,622 and 1,660,664 is: 3,644,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,622 : 1,660,664 = 1,660,664 : x
  2. Step 2: Convert to fraction form
    756,622/1,660,664 = 1,660,664/x
  3. Step 3: Cross multiply
    756,622x = 1,660,664 × 1,660,664
  4. Step 4: Simplify right side
    756,622x = 2,757,804,920,896
  5. Step 5: Solve for x
    x = 2,757,804,920,896/756,622
  6. Step 6: Final answer
    x = 3,644,891.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.