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Finding the Third Proportional to 1,449,415 and 3,074,222

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Solution

The third proportional to 1,449,415 and 3,074,222 is: 6,520,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,415 : 3,074,222 = 3,074,222 : x
  2. Step 2: Convert to fraction form
    1,449,415/3,074,222 = 3,074,222/x
  3. Step 3: Cross multiply
    1,449,415x = 3,074,222 × 3,074,222
  4. Step 4: Simplify right side
    1,449,415x = 9,450,840,905,284
  5. Step 5: Solve for x
    x = 9,450,840,905,284/1,449,415
  6. Step 6: Final answer
    x = 6,520,451.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.