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Finding the Third Proportional to 605,736 and 937,810

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Solution

The third proportional to 605,736 and 937,810 is: 1,451,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,736 : 937,810 = 937,810 : x
  2. Step 2: Convert to fraction form
    605,736/937,810 = 937,810/x
  3. Step 3: Cross multiply
    605,736x = 937,810 × 937,810
  4. Step 4: Simplify right side
    605,736x = 879,487,596,100
  5. Step 5: Solve for x
    x = 879,487,596,100/605,736
  6. Step 6: Final answer
    x = 1,451,932.19

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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.