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Finding the Third Proportional to 608,645 and 949,815

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Solution

The third proportional to 608,645 and 949,815 is: 1,482,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,645 : 949,815 = 949,815 : x
  2. Step 2: Convert to fraction form
    608,645/949,815 = 949,815/x
  3. Step 3: Cross multiply
    608,645x = 949,815 × 949,815
  4. Step 4: Simplify right side
    608,645x = 902,148,534,225
  5. Step 5: Solve for x
    x = 902,148,534,225/608,645
  6. Step 6: Final answer
    x = 1,482,224.51

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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.