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Finding the Third Proportional to 1,474,317 and 3,221,388

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Solution

The third proportional to 1,474,317 and 3,221,388 is: 7,038,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,317 : 3,221,388 = 3,221,388 : x
  2. Step 2: Convert to fraction form
    1,474,317/3,221,388 = 3,221,388/x
  3. Step 3: Cross multiply
    1,474,317x = 3,221,388 × 3,221,388
  4. Step 4: Simplify right side
    1,474,317x = 10,377,340,646,544
  5. Step 5: Solve for x
    x = 10,377,340,646,544/1,474,317
  6. Step 6: Final answer
    x = 7,038,744.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.