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Finding the Third Proportional to 3,288,321.56 and 4,832,829.56

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Solution

The third proportional to 3,288,321.56 and 4,832,829.56 is: 7,102,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288,321.56 : 4,832,829.56 = 4,832,829.56 : x
  2. Step 2: Convert to fraction form
    3,288,321.56/4,832,829.56 = 4,832,829.56/x
  3. Step 3: Cross multiply
    3,288,321.56x = 4,832,829.56 × 4,832,829.56
  4. Step 4: Simplify right side
    3,288,321.56x = 23,356,241,580,173.94
  5. Step 5: Solve for x
    x = 23,356,241,580,173.94/3,288,321.56
  6. Step 6: Final answer
    x = 7,102,785.16

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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.