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Finding the Third Proportional to 1,478,928 and 3,027,945

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Solution

The third proportional to 1,478,928 and 3,027,945 is: 6,199,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,928 : 3,027,945 = 3,027,945 : x
  2. Step 2: Convert to fraction form
    1,478,928/3,027,945 = 3,027,945/x
  3. Step 3: Cross multiply
    1,478,928x = 3,027,945 × 3,027,945
  4. Step 4: Simplify right side
    1,478,928x = 9,168,450,923,025
  5. Step 5: Solve for x
    x = 9,168,450,923,025/1,478,928
  6. Step 6: Final answer
    x = 6,199,389.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.