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Finding the Third Proportional to 608,910 and 1,377,214

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Solution

The third proportional to 608,910 and 1,377,214 is: 3,114,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,910 : 1,377,214 = 1,377,214 : x
  2. Step 2: Convert to fraction form
    608,910/1,377,214 = 1,377,214/x
  3. Step 3: Cross multiply
    608,910x = 1,377,214 × 1,377,214
  4. Step 4: Simplify right side
    608,910x = 1,896,718,401,796
  5. Step 5: Solve for x
    x = 1,896,718,401,796/608,910
  6. Step 6: Final answer
    x = 3,114,940.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.