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Finding the Third Proportional to 682,818 and 1,055,025

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Solution

The third proportional to 682,818 and 1,055,025 is: 1,630,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,818 : 1,055,025 = 1,055,025 : x
  2. Step 2: Convert to fraction form
    682,818/1,055,025 = 1,055,025/x
  3. Step 3: Cross multiply
    682,818x = 1,055,025 × 1,055,025
  4. Step 4: Simplify right side
    682,818x = 1,113,077,750,625
  5. Step 5: Solve for x
    x = 1,113,077,750,625/682,818
  6. Step 6: Final answer
    x = 1,630,123.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.