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Finding the Third Proportional to 605,738 and 937,814

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Solution

The third proportional to 605,738 and 937,814 is: 1,451,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,738 : 937,814 = 937,814 : x
  2. Step 2: Convert to fraction form
    605,738/937,814 = 937,814/x
  3. Step 3: Cross multiply
    605,738x = 937,814 × 937,814
  4. Step 4: Simplify right side
    605,738x = 879,495,098,596
  5. Step 5: Solve for x
    x = 879,495,098,596/605,738
  6. Step 6: Final answer
    x = 1,451,939.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.