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Finding the Third Proportional to 605,495 and 937,544

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Solution

The third proportional to 605,495 and 937,544 is: 1,451,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,495 : 937,544 = 937,544 : x
  2. Step 2: Convert to fraction form
    605,495/937,544 = 937,544/x
  3. Step 3: Cross multiply
    605,495x = 937,544 × 937,544
  4. Step 4: Simplify right side
    605,495x = 878,988,751,936
  5. Step 5: Solve for x
    x = 878,988,751,936/605,495
  6. Step 6: Final answer
    x = 1,451,686.23

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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.