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Finding the Third Proportional to 2,380,641 and 5,291,022

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Solution

The third proportional to 2,380,641 and 5,291,022 is: 11,759,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,641 : 5,291,022 = 5,291,022 : x
  2. Step 2: Convert to fraction form
    2,380,641/5,291,022 = 5,291,022/x
  3. Step 3: Cross multiply
    2,380,641x = 5,291,022 × 5,291,022
  4. Step 4: Simplify right side
    2,380,641x = 27,994,913,804,484
  5. Step 5: Solve for x
    x = 27,994,913,804,484/2,380,641
  6. Step 6: Final answer
    x = 11,759,401.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.