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Finding the Third Proportional to 4,064,353.50 and 5,984,256

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Solution

The third proportional to 4,064,353.50 and 5,984,256 is: 8,811,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064,353.50 : 5,984,256 = 5,984,256 : x
  2. Step 2: Convert to fraction form
    4,064,353.50/5,984,256 = 5,984,256/x
  3. Step 3: Cross multiply
    4,064,353.50x = 5,984,256 × 5,984,256
  4. Step 4: Simplify right side
    4,064,353.50x = 35,811,319,873,536
  5. Step 5: Solve for x
    x = 35,811,319,873,536/4,064,353.50
  6. Step 6: Final answer
    x = 8,811,074.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.