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Finding the Third Proportional to 850,301 and 1,866,469

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Solution

The third proportional to 850,301 and 1,866,469 is: 4,097,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,301 : 1,866,469 = 1,866,469 : x
  2. Step 2: Convert to fraction form
    850,301/1,866,469 = 1,866,469/x
  3. Step 3: Cross multiply
    850,301x = 1,866,469 × 1,866,469
  4. Step 4: Simplify right side
    850,301x = 3,483,706,527,961
  5. Step 5: Solve for x
    x = 3,483,706,527,961/850,301
  6. Step 6: Final answer
    x = 4,097,027.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.