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Finding the Third Proportional to 559,811 and 1,199,485

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Solution

The third proportional to 559,811 and 1,199,485 is: 2,570,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,811 : 1,199,485 = 1,199,485 : x
  2. Step 2: Convert to fraction form
    559,811/1,199,485 = 1,199,485/x
  3. Step 3: Cross multiply
    559,811x = 1,199,485 × 1,199,485
  4. Step 4: Simplify right side
    559,811x = 1,438,764,265,225
  5. Step 5: Solve for x
    x = 1,438,764,265,225/559,811
  6. Step 6: Final answer
    x = 2,570,089.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.