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Finding the Third Proportional to 1,958,126.75 and 2,993,471

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Solution

The third proportional to 1,958,126.75 and 2,993,471 is: 4,576,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958,126.75 : 2,993,471 = 2,993,471 : x
  2. Step 2: Convert to fraction form
    1,958,126.75/2,993,471 = 2,993,471/x
  3. Step 3: Cross multiply
    1,958,126.75x = 2,993,471 × 2,993,471
  4. Step 4: Simplify right side
    1,958,126.75x = 8,960,868,627,841
  5. Step 5: Solve for x
    x = 8,960,868,627,841/1,958,126.75
  6. Step 6: Final answer
    x = 4,576,245.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.