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Finding the Third Proportional to 3,095,984.53 and 4,552,977.09

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Solution

The third proportional to 3,095,984.53 and 4,552,977.09 is: 6,695,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095,984.53 : 4,552,977.09 = 4,552,977.09 : x
  2. Step 2: Convert to fraction form
    3,095,984.53/4,552,977.09 = 4,552,977.09/x
  3. Step 3: Cross multiply
    3,095,984.53x = 4,552,977.09 × 4,552,977.09
  4. Step 4: Simplify right side
    3,095,984.53x = 20,729,600,416,212.20
  5. Step 5: Solve for x
    x = 20,729,600,416,212.20/3,095,984.53
  6. Step 6: Final answer
    x = 6,695,640.82

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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.