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Finding the Third Proportional to 544,066 and 816,100

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Solution

The third proportional to 544,066 and 816,100 is: 1,224,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,066 : 816,100 = 816,100 : x
  2. Step 2: Convert to fraction form
    544,066/816,100 = 816,100/x
  3. Step 3: Cross multiply
    544,066x = 816,100 × 816,100
  4. Step 4: Simplify right side
    544,066x = 666,019,210,000
  5. Step 5: Solve for x
    x = 666,019,210,000/544,066
  6. Step 6: Final answer
    x = 1,224,151.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.