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Finding the Third Proportional to 541,104 and 856,778

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Solution

The third proportional to 541,104 and 856,778 is: 1,356,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,104 : 856,778 = 856,778 : x
  2. Step 2: Convert to fraction form
    541,104/856,778 = 856,778/x
  3. Step 3: Cross multiply
    541,104x = 856,778 × 856,778
  4. Step 4: Simplify right side
    541,104x = 734,068,541,284
  5. Step 5: Solve for x
    x = 734,068,541,284/541,104
  6. Step 6: Final answer
    x = 1,356,612.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.