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Finding the Third Proportional to 1,137,424 and 2,474,139

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Solution

The third proportional to 1,137,424 and 2,474,139 is: 5,381,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,424 : 2,474,139 = 2,474,139 : x
  2. Step 2: Convert to fraction form
    1,137,424/2,474,139 = 2,474,139/x
  3. Step 3: Cross multiply
    1,137,424x = 2,474,139 × 2,474,139
  4. Step 4: Simplify right side
    1,137,424x = 6,121,363,791,321
  5. Step 5: Solve for x
    x = 6,121,363,791,321/1,137,424
  6. Step 6: Final answer
    x = 5,381,778.29

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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.