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Finding the Third Proportional to 571,118 and 856,786

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Solution

The third proportional to 571,118 and 856,786 is: 1,285,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,118 : 856,786 = 856,786 : x
  2. Step 2: Convert to fraction form
    571,118/856,786 = 856,786/x
  3. Step 3: Cross multiply
    571,118x = 856,786 × 856,786
  4. Step 4: Simplify right side
    571,118x = 734,082,249,796
  5. Step 5: Solve for x
    x = 734,082,249,796/571,118
  6. Step 6: Final answer
    x = 1,285,342.52

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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.