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Finding the Third Proportional to 1,533,009 and 3,224,778

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Solution

The third proportional to 1,533,009 and 3,224,778 is: 6,783,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,009 : 3,224,778 = 3,224,778 : x
  2. Step 2: Convert to fraction form
    1,533,009/3,224,778 = 3,224,778/x
  3. Step 3: Cross multiply
    1,533,009x = 3,224,778 × 3,224,778
  4. Step 4: Simplify right side
    1,533,009x = 10,399,193,149,284
  5. Step 5: Solve for x
    x = 10,399,193,149,284/1,533,009
  6. Step 6: Final answer
    x = 6,783,517.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.