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Finding the Third Proportional to 5,324,591 and 7,614,223

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Solution

The third proportional to 5,324,591 and 7,614,223 is: 10,888,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324,591 : 7,614,223 = 7,614,223 : x
  2. Step 2: Convert to fraction form
    5,324,591/7,614,223 = 7,614,223/x
  3. Step 3: Cross multiply
    5,324,591x = 7,614,223 × 7,614,223
  4. Step 4: Simplify right side
    5,324,591x = 57,976,391,893,729
  5. Step 5: Solve for x
    x = 57,976,391,893,729/5,324,591
  6. Step 6: Final answer
    x = 10,888,421.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.