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Finding the Third Proportional to 571,116 and 856,782

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Solution

The third proportional to 571,116 and 856,782 is: 1,285,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,116 : 856,782 = 856,782 : x
  2. Step 2: Convert to fraction form
    571,116/856,782 = 856,782/x
  3. Step 3: Cross multiply
    571,116x = 856,782 × 856,782
  4. Step 4: Simplify right side
    571,116x = 734,075,395,524
  5. Step 5: Solve for x
    x = 734,075,395,524/571,116
  6. Step 6: Final answer
    x = 1,285,335.02

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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.