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Finding the Third Proportional to 542,401 and 1,166,430

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Solution

The third proportional to 542,401 and 1,166,430 is: 2,508,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,401 : 1,166,430 = 1,166,430 : x
  2. Step 2: Convert to fraction form
    542,401/1,166,430 = 1,166,430/x
  3. Step 3: Cross multiply
    542,401x = 1,166,430 × 1,166,430
  4. Step 4: Simplify right side
    542,401x = 1,360,558,944,900
  5. Step 5: Solve for x
    x = 1,360,558,944,900/542,401
  6. Step 6: Final answer
    x = 2,508,400.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.