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Finding the Third Proportional to 682,742 and 983,463

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Solution

The third proportional to 682,742 and 983,463 is: 1,416,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,742 : 983,463 = 983,463 : x
  2. Step 2: Convert to fraction form
    682,742/983,463 = 983,463/x
  3. Step 3: Cross multiply
    682,742x = 983,463 × 983,463
  4. Step 4: Simplify right side
    682,742x = 967,199,472,369
  5. Step 5: Solve for x
    x = 967,199,472,369/682,742
  6. Step 6: Final answer
    x = 1,416,639.77

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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.