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Finding the Third Proportional to 682,985 and 986,716

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Solution

The third proportional to 682,985 and 986,716 is: 1,425,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,985 : 986,716 = 986,716 : x
  2. Step 2: Convert to fraction form
    682,985/986,716 = 986,716/x
  3. Step 3: Cross multiply
    682,985x = 986,716 × 986,716
  4. Step 4: Simplify right side
    682,985x = 973,608,464,656
  5. Step 5: Solve for x
    x = 973,608,464,656/682,985
  6. Step 6: Final answer
    x = 1,425,519.54

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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.