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Finding the Third Proportional to 571,125 and 856,797

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Solution

The third proportional to 571,125 and 856,797 is: 1,285,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,125 : 856,797 = 856,797 : x
  2. Step 2: Convert to fraction form
    571,125/856,797 = 856,797/x
  3. Step 3: Cross multiply
    571,125x = 856,797 × 856,797
  4. Step 4: Simplify right side
    571,125x = 734,101,099,209
  5. Step 5: Solve for x
    x = 734,101,099,209/571,125
  6. Step 6: Final answer
    x = 1,285,359.77

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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.