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Finding the Third Proportional to 539,401 and 818,943

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Solution

The third proportional to 539,401 and 818,943 is: 1,243,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,401 : 818,943 = 818,943 : x
  2. Step 2: Convert to fraction form
    539,401/818,943 = 818,943/x
  3. Step 3: Cross multiply
    539,401x = 818,943 × 818,943
  4. Step 4: Simplify right side
    539,401x = 670,667,637,249
  5. Step 5: Solve for x
    x = 670,667,637,249/539,401
  6. Step 6: Final answer
    x = 1,243,356.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.