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Finding the Third Proportional to 1,199,174.63 and 1,845,076.22

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Solution

The third proportional to 1,199,174.63 and 1,845,076.22 is: 2,838,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,174.63 : 1,845,076.22 = 1,845,076.22 : x
  2. Step 2: Convert to fraction form
    1,199,174.63/1,845,076.22 = 1,845,076.22/x
  3. Step 3: Cross multiply
    1,199,174.63x = 1,845,076.22 × 1,845,076.22
  4. Step 4: Simplify right side
    1,199,174.63x = 3,404,306,252,996.80
  5. Step 5: Solve for x
    x = 3,404,306,252,996.80/1,199,174.63
  6. Step 6: Final answer
    x = 2,838,874.49

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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.