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Finding the Third Proportional to 608,634 and 949,799

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Solution

The third proportional to 608,634 and 949,799 is: 1,482,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,634 : 949,799 = 949,799 : x
  2. Step 2: Convert to fraction form
    608,634/949,799 = 949,799/x
  3. Step 3: Cross multiply
    608,634x = 949,799 × 949,799
  4. Step 4: Simplify right side
    608,634x = 902,118,140,401
  5. Step 5: Solve for x
    x = 902,118,140,401/608,634
  6. Step 6: Final answer
    x = 1,482,201.36

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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.