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Finding the Third Proportional to 599,811 and 905,913

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Solution

The third proportional to 599,811 and 905,913 is: 1,368,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,811 : 905,913 = 905,913 : x
  2. Step 2: Convert to fraction form
    599,811/905,913 = 905,913/x
  3. Step 3: Cross multiply
    599,811x = 905,913 × 905,913
  4. Step 4: Simplify right side
    599,811x = 820,678,363,569
  5. Step 5: Solve for x
    x = 820,678,363,569/599,811
  6. Step 6: Final answer
    x = 1,368,228.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.