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Finding the Third Proportional to 1,477,765.50 and 3,183,495

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Solution

The third proportional to 1,477,765.50 and 3,183,495 is: 6,858,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,765.50 : 3,183,495 = 3,183,495 : x
  2. Step 2: Convert to fraction form
    1,477,765.50/3,183,495 = 3,183,495/x
  3. Step 3: Cross multiply
    1,477,765.50x = 3,183,495 × 3,183,495
  4. Step 4: Simplify right side
    1,477,765.50x = 10,134,640,415,025
  5. Step 5: Solve for x
    x = 10,134,640,415,025/1,477,765.50
  6. Step 6: Final answer
    x = 6,858,084.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.