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Finding the Third Proportional to 2,422,074 and 5,709,507

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Solution

The third proportional to 2,422,074 and 5,709,507 is: 13,458,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,074 : 5,709,507 = 5,709,507 : x
  2. Step 2: Convert to fraction form
    2,422,074/5,709,507 = 5,709,507/x
  3. Step 3: Cross multiply
    2,422,074x = 5,709,507 × 5,709,507
  4. Step 4: Simplify right side
    2,422,074x = 32,598,470,183,049
  5. Step 5: Solve for x
    x = 32,598,470,183,049/2,422,074
  6. Step 6: Final answer
    x = 13,458,907.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.