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Finding the Third Proportional to 1,217,221 and 2,603,299

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Solution

The third proportional to 1,217,221 and 2,603,299 is: 5,567,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,221 : 2,603,299 = 2,603,299 : x
  2. Step 2: Convert to fraction form
    1,217,221/2,603,299 = 2,603,299/x
  3. Step 3: Cross multiply
    1,217,221x = 2,603,299 × 2,603,299
  4. Step 4: Simplify right side
    1,217,221x = 6,777,165,683,401
  5. Step 5: Solve for x
    x = 6,777,165,683,401/1,217,221
  6. Step 6: Final answer
    x = 5,567,736.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.