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Finding the Third Proportional to 1,691,097.75 and 2,617,383.38

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Solution

The third proportional to 1,691,097.75 and 2,617,383.38 is: 4,051,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,097.75 : 2,617,383.38 = 2,617,383.38 : x
  2. Step 2: Convert to fraction form
    1,691,097.75/2,617,383.38 = 2,617,383.38/x
  3. Step 3: Cross multiply
    1,691,097.75x = 2,617,383.38 × 2,617,383.38
  4. Step 4: Simplify right side
    1,691,097.75x = 6,850,695,731,726.39
  5. Step 5: Solve for x
    x = 6,850,695,731,726.39/1,691,097.75
  6. Step 6: Final answer
    x = 4,051,034.74

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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.