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Finding the Third Proportional to 540,026 and 1,250,201

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Solution

The third proportional to 540,026 and 1,250,201 is: 2,894,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,026 : 1,250,201 = 1,250,201 : x
  2. Step 2: Convert to fraction form
    540,026/1,250,201 = 1,250,201/x
  3. Step 3: Cross multiply
    540,026x = 1,250,201 × 1,250,201
  4. Step 4: Simplify right side
    540,026x = 1,563,002,540,401
  5. Step 5: Solve for x
    x = 1,563,002,540,401/540,026
  6. Step 6: Final answer
    x = 2,894,309.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.