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Finding the Third Proportional to 3,457,522.13 and 5,074,182.56

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Solution

The third proportional to 3,457,522.13 and 5,074,182.56 is: 7,446,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,522.13 : 5,074,182.56 = 5,074,182.56 : x
  2. Step 2: Convert to fraction form
    3,457,522.13/5,074,182.56 = 5,074,182.56/x
  3. Step 3: Cross multiply
    3,457,522.13x = 5,074,182.56 × 5,074,182.56
  4. Step 4: Simplify right side
    3,457,522.13x = 25,747,328,677,579.07
  5. Step 5: Solve for x
    x = 25,747,328,677,579.07/3,457,522.13
  6. Step 6: Final answer
    x = 7,446,757.46

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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.