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Finding the Third Proportional to 737,542.97 and 1,139,068.97

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Solution

The third proportional to 737,542.97 and 1,139,068.97 is: 1,759,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,542.97 : 1,139,068.97 = 1,139,068.97 : x
  2. Step 2: Convert to fraction form
    737,542.97/1,139,068.97 = 1,139,068.97/x
  3. Step 3: Cross multiply
    737,542.97x = 1,139,068.97 × 1,139,068.97
  4. Step 4: Simplify right side
    737,542.97x = 1,297,478,115,569.19
  5. Step 5: Solve for x
    x = 1,297,478,115,569.19/737,542.97
  6. Step 6: Final answer
    x = 1,759,189.86

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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.