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Finding the Third Proportional to 626,771 and 954,849

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Solution

The third proportional to 626,771 and 954,849 is: 1,454,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,771 : 954,849 = 954,849 : x
  2. Step 2: Convert to fraction form
    626,771/954,849 = 954,849/x
  3. Step 3: Cross multiply
    626,771x = 954,849 × 954,849
  4. Step 4: Simplify right side
    626,771x = 911,736,612,801
  5. Step 5: Solve for x
    x = 911,736,612,801/626,771
  6. Step 6: Final answer
    x = 1,454,656.67

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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.