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Finding the Third Proportional to 5,942,833 and 8,928,447

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Solution

The third proportional to 5,942,833 and 8,928,447 is: 13,414,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942,833 : 8,928,447 = 8,928,447 : x
  2. Step 2: Convert to fraction form
    5,942,833/8,928,447 = 8,928,447/x
  3. Step 3: Cross multiply
    5,942,833x = 8,928,447 × 8,928,447
  4. Step 4: Simplify right side
    5,942,833x = 79,717,165,831,809
  5. Step 5: Solve for x
    x = 79,717,165,831,809/5,942,833
  6. Step 6: Final answer
    x = 13,414,000.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.