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Finding the Third Proportional to 561,953 and 1,204,299

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Solution

The third proportional to 561,953 and 1,204,299 is: 2,580,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,953 : 1,204,299 = 1,204,299 : x
  2. Step 2: Convert to fraction form
    561,953/1,204,299 = 1,204,299/x
  3. Step 3: Cross multiply
    561,953x = 1,204,299 × 1,204,299
  4. Step 4: Simplify right side
    561,953x = 1,450,336,081,401
  5. Step 5: Solve for x
    x = 1,450,336,081,401/561,953
  6. Step 6: Final answer
    x = 2,580,885.02

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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.