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Finding the Third Proportional to 3,457,680 and 5,074,418.25

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Solution

The third proportional to 3,457,680 and 5,074,418.25 is: 7,447,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,680 : 5,074,418.25 = 5,074,418.25 : x
  2. Step 2: Convert to fraction form
    3,457,680/5,074,418.25 = 5,074,418.25/x
  3. Step 3: Cross multiply
    3,457,680x = 5,074,418.25 × 5,074,418.25
  4. Step 4: Simplify right side
    3,457,680x = 25,749,720,575,933.06
  5. Step 5: Solve for x
    x = 25,749,720,575,933.06/3,457,680
  6. Step 6: Final answer
    x = 7,447,109.21

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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.