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Finding the Third Proportional to 850,824 and 1,856,200

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Solution

The third proportional to 850,824 and 1,856,200 is: 4,049,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,824 : 1,856,200 = 1,856,200 : x
  2. Step 2: Convert to fraction form
    850,824/1,856,200 = 1,856,200/x
  3. Step 3: Cross multiply
    850,824x = 1,856,200 × 1,856,200
  4. Step 4: Simplify right side
    850,824x = 3,445,478,440,000
  5. Step 5: Solve for x
    x = 3,445,478,440,000/850,824
  6. Step 6: Final answer
    x = 4,049,578.34

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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.