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Finding the Third Proportional to 4,014,936 and 5,723,106

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Solution

The third proportional to 4,014,936 and 5,723,106 is: 8,158,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014,936 : 5,723,106 = 5,723,106 : x
  2. Step 2: Convert to fraction form
    4,014,936/5,723,106 = 5,723,106/x
  3. Step 3: Cross multiply
    4,014,936x = 5,723,106 × 5,723,106
  4. Step 4: Simplify right side
    4,014,936x = 32,753,942,287,236
  5. Step 5: Solve for x
    x = 32,753,942,287,236/4,014,936
  6. Step 6: Final answer
    x = 8,158,023.51

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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.