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Finding the Third Proportional to 3,613,749 and 4,817,739

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Solution

The third proportional to 3,613,749 and 4,817,739 is: 6,422,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613,749 : 4,817,739 = 4,817,739 : x
  2. Step 2: Convert to fraction form
    3,613,749/4,817,739 = 4,817,739/x
  3. Step 3: Cross multiply
    3,613,749x = 4,817,739 × 4,817,739
  4. Step 4: Simplify right side
    3,613,749x = 23,210,609,072,121
  5. Step 5: Solve for x
    x = 23,210,609,072,121/3,613,749
  6. Step 6: Final answer
    x = 6,422,861.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.