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Finding the Third Proportional to 656,949.38 and 1,412,100

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Solution

The third proportional to 656,949.38 and 1,412,100 is: 3,035,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,949.38 : 1,412,100 = 1,412,100 : x
  2. Step 2: Convert to fraction form
    656,949.38/1,412,100 = 1,412,100/x
  3. Step 3: Cross multiply
    656,949.38x = 1,412,100 × 1,412,100
  4. Step 4: Simplify right side
    656,949.38x = 1,994,026,410,000
  5. Step 5: Solve for x
    x = 1,994,026,410,000/656,949.38
  6. Step 6: Final answer
    x = 3,035,281.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.