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Finding the Third Proportional to 3,457,601.44 and 5,074,300.69

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Solution

The third proportional to 3,457,601.44 and 5,074,300.69 is: 7,446,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,601.44 : 5,074,300.69 = 5,074,300.69 : x
  2. Step 2: Convert to fraction form
    3,457,601.44/5,074,300.69 = 5,074,300.69/x
  3. Step 3: Cross multiply
    3,457,601.44x = 5,074,300.69 × 5,074,300.69
  4. Step 4: Simplify right side
    3,457,601.44x = 25,748,527,467,162.97
  5. Step 5: Solve for x
    x = 25,748,527,467,162.97/3,457,601.44
  6. Step 6: Final answer
    x = 7,446,933.35

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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.