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Finding the Third Proportional to 1,084,401 and 2,355,477.75

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Solution

The third proportional to 1,084,401 and 2,355,477.75 is: 5,116,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,401 : 2,355,477.75 = 2,355,477.75 : x
  2. Step 2: Convert to fraction form
    1,084,401/2,355,477.75 = 2,355,477.75/x
  3. Step 3: Cross multiply
    1,084,401x = 2,355,477.75 × 2,355,477.75
  4. Step 4: Simplify right side
    1,084,401x = 5,548,275,430,745.06
  5. Step 5: Solve for x
    x = 5,548,275,430,745.06/1,084,401
  6. Step 6: Final answer
    x = 5,116,442.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.