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Finding the Third Proportional to 3,657,447 and 5,695,589.25

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Solution

The third proportional to 3,657,447 and 5,695,589.25 is: 8,869,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657,447 : 5,695,589.25 = 5,695,589.25 : x
  2. Step 2: Convert to fraction form
    3,657,447/5,695,589.25 = 5,695,589.25/x
  3. Step 3: Cross multiply
    3,657,447x = 5,695,589.25 × 5,695,589.25
  4. Step 4: Simplify right side
    3,657,447x = 32,439,736,904,715.56
  5. Step 5: Solve for x
    x = 32,439,736,904,715.56/3,657,447
  6. Step 6: Final answer
    x = 8,869,502.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.