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Finding the Third Proportional to 597,942 and 1,289,799

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Solution

The third proportional to 597,942 and 1,289,799 is: 2,782,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,942 : 1,289,799 = 1,289,799 : x
  2. Step 2: Convert to fraction form
    597,942/1,289,799 = 1,289,799/x
  3. Step 3: Cross multiply
    597,942x = 1,289,799 × 1,289,799
  4. Step 4: Simplify right side
    597,942x = 1,663,581,460,401
  5. Step 5: Solve for x
    x = 1,663,581,460,401/597,942
  6. Step 6: Final answer
    x = 2,782,178.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.