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Finding the Third Proportional to 1,542,402 and 3,442,500

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Solution

The third proportional to 1,542,402 and 3,442,500 is: 7,683,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,402 : 3,442,500 = 3,442,500 : x
  2. Step 2: Convert to fraction form
    1,542,402/3,442,500 = 3,442,500/x
  3. Step 3: Cross multiply
    1,542,402x = 3,442,500 × 3,442,500
  4. Step 4: Simplify right side
    1,542,402x = 11,850,806,250,000
  5. Step 5: Solve for x
    x = 11,850,806,250,000/1,542,402
  6. Step 6: Final answer
    x = 7,683,344.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.