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Finding the Third Proportional to 608,650 and 949,821

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Solution

The third proportional to 608,650 and 949,821 is: 1,482,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,650 : 949,821 = 949,821 : x
  2. Step 2: Convert to fraction form
    608,650/949,821 = 949,821/x
  3. Step 3: Cross multiply
    608,650x = 949,821 × 949,821
  4. Step 4: Simplify right side
    608,650x = 902,159,932,041
  5. Step 5: Solve for x
    x = 902,159,932,041/608,650
  6. Step 6: Final answer
    x = 1,482,231.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.