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Finding the Third Proportional to 1,970,494.75 and 2,969,836.50

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Solution

The third proportional to 1,970,494.75 and 2,969,836.50 is: 4,475,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,494.75 : 2,969,836.50 = 2,969,836.50 : x
  2. Step 2: Convert to fraction form
    1,970,494.75/2,969,836.50 = 2,969,836.50/x
  3. Step 3: Cross multiply
    1,970,494.75x = 2,969,836.50 × 2,969,836.50
  4. Step 4: Simplify right side
    1,970,494.75x = 8,819,928,836,732.25
  5. Step 5: Solve for x
    x = 8,819,928,836,732.25/1,970,494.75
  6. Step 6: Final answer
    x = 4,475,997.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.