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Finding the Third Proportional to 850,417 and 1,850,299

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Solution

The third proportional to 850,417 and 1,850,299 is: 4,025,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,417 : 1,850,299 = 1,850,299 : x
  2. Step 2: Convert to fraction form
    850,417/1,850,299 = 1,850,299/x
  3. Step 3: Cross multiply
    850,417x = 1,850,299 × 1,850,299
  4. Step 4: Simplify right side
    850,417x = 3,423,606,389,401
  5. Step 5: Solve for x
    x = 3,423,606,389,401/850,417
  6. Step 6: Final answer
    x = 4,025,797.21

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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.