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Finding the Third Proportional to 608,632 and 949,796

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Solution

The third proportional to 608,632 and 949,796 is: 1,482,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,632 : 949,796 = 949,796 : x
  2. Step 2: Convert to fraction form
    608,632/949,796 = 949,796/x
  3. Step 3: Cross multiply
    608,632x = 949,796 × 949,796
  4. Step 4: Simplify right side
    608,632x = 902,112,441,616
  5. Step 5: Solve for x
    x = 902,112,441,616/608,632
  6. Step 6: Final answer
    x = 1,482,196.86

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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.