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Finding the Third Proportional to 737,546 and 1,139,074

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Solution

The third proportional to 737,546 and 1,139,074 is: 1,759,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,546 : 1,139,074 = 1,139,074 : x
  2. Step 2: Convert to fraction form
    737,546/1,139,074 = 1,139,074/x
  3. Step 3: Cross multiply
    737,546x = 1,139,074 × 1,139,074
  4. Step 4: Simplify right side
    737,546x = 1,297,489,577,476
  5. Step 5: Solve for x
    x = 1,297,489,577,476/737,546
  6. Step 6: Final answer
    x = 1,759,198.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.