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Finding the Third Proportional to 504,571 and 840,919

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Solution

The third proportional to 504,571 and 840,919 is: 1,401,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,571 : 840,919 = 840,919 : x
  2. Step 2: Convert to fraction form
    504,571/840,919 = 840,919/x
  3. Step 3: Cross multiply
    504,571x = 840,919 × 840,919
  4. Step 4: Simplify right side
    504,571x = 707,144,764,561
  5. Step 5: Solve for x
    x = 707,144,764,561/504,571
  6. Step 6: Final answer
    x = 1,401,477.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.