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Finding the Third Proportional to 682,856 and 983,612

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Solution

The third proportional to 682,856 and 983,612 is: 1,416,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,856 : 983,612 = 983,612 : x
  2. Step 2: Convert to fraction form
    682,856/983,612 = 983,612/x
  3. Step 3: Cross multiply
    682,856x = 983,612 × 983,612
  4. Step 4: Simplify right side
    682,856x = 967,492,566,544
  5. Step 5: Solve for x
    x = 967,492,566,544/682,856
  6. Step 6: Final answer
    x = 1,416,832.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.