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Finding the Third Proportional to 534,744 and 1,113,579

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Solution

The third proportional to 534,744 and 1,113,579 is: 2,318,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,744 : 1,113,579 = 1,113,579 : x
  2. Step 2: Convert to fraction form
    534,744/1,113,579 = 1,113,579/x
  3. Step 3: Cross multiply
    534,744x = 1,113,579 × 1,113,579
  4. Step 4: Simplify right side
    534,744x = 1,240,058,189,241
  5. Step 5: Solve for x
    x = 1,240,058,189,241/534,744
  6. Step 6: Final answer
    x = 2,318,975.41

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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.