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Finding the Third Proportional to 682,954 and 1,490,324

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Solution

The third proportional to 682,954 and 1,490,324 is: 3,252,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,954 : 1,490,324 = 1,490,324 : x
  2. Step 2: Convert to fraction form
    682,954/1,490,324 = 1,490,324/x
  3. Step 3: Cross multiply
    682,954x = 1,490,324 × 1,490,324
  4. Step 4: Simplify right side
    682,954x = 2,221,065,624,976
  5. Step 5: Solve for x
    x = 2,221,065,624,976/682,954
  6. Step 6: Final answer
    x = 3,252,145.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.