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Finding the Third Proportional to 569,619 and 1,344,642

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Solution

The third proportional to 569,619 and 1,344,642 is: 3,174,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,619 : 1,344,642 = 1,344,642 : x
  2. Step 2: Convert to fraction form
    569,619/1,344,642 = 1,344,642/x
  3. Step 3: Cross multiply
    569,619x = 1,344,642 × 1,344,642
  4. Step 4: Simplify right side
    569,619x = 1,808,062,108,164
  5. Step 5: Solve for x
    x = 1,808,062,108,164/569,619
  6. Step 6: Final answer
    x = 3,174,160.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.