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Finding the Third Proportional to 1,259,068.07 and 2,697,781.97

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Solution

The third proportional to 1,259,068.07 and 2,697,781.97 is: 5,780,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,068.07 : 2,697,781.97 = 2,697,781.97 : x
  2. Step 2: Convert to fraction form
    1,259,068.07/2,697,781.97 = 2,697,781.97/x
  3. Step 3: Cross multiply
    1,259,068.07x = 2,697,781.97 × 2,697,781.97
  4. Step 4: Simplify right side
    1,259,068.07x = 7,278,027,535,105.24
  5. Step 5: Solve for x
    x = 7,278,027,535,105.24/1,259,068.07
  6. Step 6: Final answer
    x = 5,780,487.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.