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Finding the Third Proportional to 682,769 and 983,487

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Solution

The third proportional to 682,769 and 983,487 is: 1,416,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,769 : 983,487 = 983,487 : x
  2. Step 2: Convert to fraction form
    682,769/983,487 = 983,487/x
  3. Step 3: Cross multiply
    682,769x = 983,487 × 983,487
  4. Step 4: Simplify right side
    682,769x = 967,246,679,169
  5. Step 5: Solve for x
    x = 967,246,679,169/682,769
  6. Step 6: Final answer
    x = 1,416,652.89

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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.