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Finding the Third Proportional to 655,214 and 1,401,512

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Solution

The third proportional to 655,214 and 1,401,512 is: 2,997,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,214 : 1,401,512 = 1,401,512 : x
  2. Step 2: Convert to fraction form
    655,214/1,401,512 = 1,401,512/x
  3. Step 3: Cross multiply
    655,214x = 1,401,512 × 1,401,512
  4. Step 4: Simplify right side
    655,214x = 1,964,235,886,144
  5. Step 5: Solve for x
    x = 1,964,235,886,144/655,214
  6. Step 6: Final answer
    x = 2,997,853.96

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Why These Related Problems?

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