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Finding the Third Proportional to 3,084,922 and 6,643,424

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Solution

The third proportional to 3,084,922 and 6,643,424 is: 14,306,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,922 : 6,643,424 = 6,643,424 : x
  2. Step 2: Convert to fraction form
    3,084,922/6,643,424 = 6,643,424/x
  3. Step 3: Cross multiply
    3,084,922x = 6,643,424 × 6,643,424
  4. Step 4: Simplify right side
    3,084,922x = 44,135,082,443,776
  5. Step 5: Solve for x
    x = 44,135,082,443,776/3,084,922
  6. Step 6: Final answer
    x = 14,306,709.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.