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Finding the Third Proportional to 4,542,419 and 6,982,013

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Solution

The third proportional to 4,542,419 and 6,982,013 is: 10,731,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542,419 : 6,982,013 = 6,982,013 : x
  2. Step 2: Convert to fraction form
    4,542,419/6,982,013 = 6,982,013/x
  3. Step 3: Cross multiply
    4,542,419x = 6,982,013 × 6,982,013
  4. Step 4: Simplify right side
    4,542,419x = 48,748,505,532,169
  5. Step 5: Solve for x
    x = 48,748,505,532,169/4,542,419
  6. Step 6: Final answer
    x = 10,731,838.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.