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Finding the Third Proportional to 1,930,791.38 and 4,160,597.06

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Solution

The third proportional to 1,930,791.38 and 4,160,597.06 is: 8,965,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930,791.38 : 4,160,597.06 = 4,160,597.06 : x
  2. Step 2: Convert to fraction form
    1,930,791.38/4,160,597.06 = 4,160,597.06/x
  3. Step 3: Cross multiply
    1,930,791.38x = 4,160,597.06 × 4,160,597.06
  4. Step 4: Simplify right side
    1,930,791.38x = 17,310,567,916,483.63
  5. Step 5: Solve for x
    x = 17,310,567,916,483.63/1,930,791.38
  6. Step 6: Final answer
    x = 8,965,529.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.