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Finding the Third Proportional to 1,137,426 and 2,474,143

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Solution

The third proportional to 1,137,426 and 2,474,143 is: 5,381,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,426 : 2,474,143 = 2,474,143 : x
  2. Step 2: Convert to fraction form
    1,137,426/2,474,143 = 2,474,143/x
  3. Step 3: Cross multiply
    1,137,426x = 2,474,143 × 2,474,143
  4. Step 4: Simplify right side
    1,137,426x = 6,121,383,584,449
  5. Step 5: Solve for x
    x = 6,121,383,584,449/1,137,426
  6. Step 6: Final answer
    x = 5,381,786.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.