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Finding the Third Proportional to 682,996 and 1,002,352

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Solution

The third proportional to 682,996 and 1,002,352 is: 1,471,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,996 : 1,002,352 = 1,002,352 : x
  2. Step 2: Convert to fraction form
    682,996/1,002,352 = 1,002,352/x
  3. Step 3: Cross multiply
    682,996x = 1,002,352 × 1,002,352
  4. Step 4: Simplify right side
    682,996x = 1,004,709,531,904
  5. Step 5: Solve for x
    x = 1,004,709,531,904/682,996
  6. Step 6: Final answer
    x = 1,471,032.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.