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Finding the Third Proportional to 656,800 and 1,416,200

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Solution

The third proportional to 656,800 and 1,416,200 is: 3,053,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,800 : 1,416,200 = 1,416,200 : x
  2. Step 2: Convert to fraction form
    656,800/1,416,200 = 1,416,200/x
  3. Step 3: Cross multiply
    656,800x = 1,416,200 × 1,416,200
  4. Step 4: Simplify right side
    656,800x = 2,005,622,440,000
  5. Step 5: Solve for x
    x = 2,005,622,440,000/656,800
  6. Step 6: Final answer
    x = 3,053,627.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.