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Finding the Third Proportional to 1,143,234 and 2,438,343

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Solution

The third proportional to 1,143,234 and 2,438,343 is: 5,200,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,234 : 2,438,343 = 2,438,343 : x
  2. Step 2: Convert to fraction form
    1,143,234/2,438,343 = 2,438,343/x
  3. Step 3: Cross multiply
    1,143,234x = 2,438,343 × 2,438,343
  4. Step 4: Simplify right side
    1,143,234x = 5,945,516,585,649
  5. Step 5: Solve for x
    x = 5,945,516,585,649/1,143,234
  6. Step 6: Final answer
    x = 5,200,612.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.