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Finding the Third Proportional to 862,821 and 1,350,549

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Solution

The third proportional to 862,821 and 1,350,549 is: 2,113,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,821 : 1,350,549 = 1,350,549 : x
  2. Step 2: Convert to fraction form
    862,821/1,350,549 = 1,350,549/x
  3. Step 3: Cross multiply
    862,821x = 1,350,549 × 1,350,549
  4. Step 4: Simplify right side
    862,821x = 1,823,982,601,401
  5. Step 5: Solve for x
    x = 1,823,982,601,401/862,821
  6. Step 6: Final answer
    x = 2,113,975.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.