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Finding the Third Proportional to 655,256 and 1,401,596

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Solution

The third proportional to 655,256 and 1,401,596 is: 2,998,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,256 : 1,401,596 = 1,401,596 : x
  2. Step 2: Convert to fraction form
    655,256/1,401,596 = 1,401,596/x
  3. Step 3: Cross multiply
    655,256x = 1,401,596 × 1,401,596
  4. Step 4: Simplify right side
    655,256x = 1,964,471,347,216
  5. Step 5: Solve for x
    x = 1,964,471,347,216/655,256
  6. Step 6: Final answer
    x = 2,998,021.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.