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Finding the Third Proportional to 589,848 and 889,605

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Solution

The third proportional to 589,848 and 889,605 is: 1,341,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,848 : 889,605 = 889,605 : x
  2. Step 2: Convert to fraction form
    589,848/889,605 = 889,605/x
  3. Step 3: Cross multiply
    589,848x = 889,605 × 889,605
  4. Step 4: Simplify right side
    589,848x = 791,397,056,025
  5. Step 5: Solve for x
    x = 791,397,056,025/589,848
  6. Step 6: Final answer
    x = 1,341,696.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.