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Finding the Third Proportional to 761,622 and 1,642,266

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Solution

The third proportional to 761,622 and 1,642,266 is: 3,541,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,622 : 1,642,266 = 1,642,266 : x
  2. Step 2: Convert to fraction form
    761,622/1,642,266 = 1,642,266/x
  3. Step 3: Cross multiply
    761,622x = 1,642,266 × 1,642,266
  4. Step 4: Simplify right side
    761,622x = 2,697,037,614,756
  5. Step 5: Solve for x
    x = 2,697,037,614,756/761,622
  6. Step 6: Final answer
    x = 3,541,176.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.