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Finding the Third Proportional to 964,652 and 2,062,180

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Solution

The third proportional to 964,652 and 2,062,180 is: 4,408,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,652 : 2,062,180 = 2,062,180 : x
  2. Step 2: Convert to fraction form
    964,652/2,062,180 = 2,062,180/x
  3. Step 3: Cross multiply
    964,652x = 2,062,180 × 2,062,180
  4. Step 4: Simplify right side
    964,652x = 4,252,586,352,400
  5. Step 5: Solve for x
    x = 4,252,586,352,400/964,652
  6. Step 6: Final answer
    x = 4,408,415.01

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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.