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Finding the Third Proportional to 1,692,771.75 and 2,624,040.56

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Solution

The third proportional to 1,692,771.75 and 2,624,040.56 is: 4,067,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692,771.75 : 2,624,040.56 = 2,624,040.56 : x
  2. Step 2: Convert to fraction form
    1,692,771.75/2,624,040.56 = 2,624,040.56/x
  3. Step 3: Cross multiply
    1,692,771.75x = 2,624,040.56 × 2,624,040.56
  4. Step 4: Simplify right side
    1,692,771.75x = 6,885,588,873,645.32
  5. Step 5: Solve for x
    x = 6,885,588,873,645.32/1,692,771.75
  6. Step 6: Final answer
    x = 4,067,641.65

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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.