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Finding the Third Proportional to 1,077,846.75 and 1,690,824.38

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Solution

The third proportional to 1,077,846.75 and 1,690,824.38 is: 2,652,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,846.75 : 1,690,824.38 = 1,690,824.38 : x
  2. Step 2: Convert to fraction form
    1,077,846.75/1,690,824.38 = 1,690,824.38/x
  3. Step 3: Cross multiply
    1,077,846.75x = 1,690,824.38 × 1,690,824.38
  4. Step 4: Simplify right side
    1,077,846.75x = 2,858,887,067,094.14
  5. Step 5: Solve for x
    x = 2,858,887,067,094.14/1,077,846.75
  6. Step 6: Final answer
    x = 2,652,405.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.