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Finding the Third Proportional to 569,625 and 1,344,657

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Solution

The third proportional to 569,625 and 1,344,657 is: 3,174,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,625 : 1,344,657 = 1,344,657 : x
  2. Step 2: Convert to fraction form
    569,625/1,344,657 = 1,344,657/x
  3. Step 3: Cross multiply
    569,625x = 1,344,657 × 1,344,657
  4. Step 4: Simplify right side
    569,625x = 1,808,102,447,649
  5. Step 5: Solve for x
    x = 1,808,102,447,649/569,625
  6. Step 6: Final answer
    x = 3,174,197.85

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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.