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Finding the Third Proportional to 611,998 and 949,968

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Solution

The third proportional to 611,998 and 949,968 is: 1,474,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,998 : 949,968 = 949,968 : x
  2. Step 2: Convert to fraction form
    611,998/949,968 = 949,968/x
  3. Step 3: Cross multiply
    611,998x = 949,968 × 949,968
  4. Step 4: Simplify right side
    611,998x = 902,439,201,024
  5. Step 5: Solve for x
    x = 902,439,201,024/611,998
  6. Step 6: Final answer
    x = 1,474,578.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.