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Finding the Third Proportional to 546,126 and 1,135,860

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Solution

The third proportional to 546,126 and 1,135,860 is: 2,362,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,126 : 1,135,860 = 1,135,860 : x
  2. Step 2: Convert to fraction form
    546,126/1,135,860 = 1,135,860/x
  3. Step 3: Cross multiply
    546,126x = 1,135,860 × 1,135,860
  4. Step 4: Simplify right side
    546,126x = 1,290,177,939,600
  5. Step 5: Solve for x
    x = 1,290,177,939,600/546,126
  6. Step 6: Final answer
    x = 2,362,418.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.