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Finding the Third Proportional to 436,830 and 954,474

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Solution

The third proportional to 436,830 and 954,474 is: 2,085,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,830 : 954,474 = 954,474 : x
  2. Step 2: Convert to fraction form
    436,830/954,474 = 954,474/x
  3. Step 3: Cross multiply
    436,830x = 954,474 × 954,474
  4. Step 4: Simplify right side
    436,830x = 911,020,616,676
  5. Step 5: Solve for x
    x = 911,020,616,676/436,830
  6. Step 6: Final answer
    x = 2,085,526.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.