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Finding the Third Proportional to 682,975 and 1,002,319

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Solution

The third proportional to 682,975 and 1,002,319 is: 1,470,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,975 : 1,002,319 = 1,002,319 : x
  2. Step 2: Convert to fraction form
    682,975/1,002,319 = 1,002,319/x
  3. Step 3: Cross multiply
    682,975x = 1,002,319 × 1,002,319
  4. Step 4: Simplify right side
    682,975x = 1,004,643,377,761
  5. Step 5: Solve for x
    x = 1,004,643,377,761/682,975
  6. Step 6: Final answer
    x = 1,470,981.19

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Why These Related Problems?

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