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Finding the Third Proportional to 589,756 and 889,521

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Solution

The third proportional to 589,756 and 889,521 is: 1,341,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,756 : 889,521 = 889,521 : x
  2. Step 2: Convert to fraction form
    589,756/889,521 = 889,521/x
  3. Step 3: Cross multiply
    589,756x = 889,521 × 889,521
  4. Step 4: Simplify right side
    589,756x = 791,247,609,441
  5. Step 5: Solve for x
    x = 791,247,609,441/589,756
  6. Step 6: Final answer
    x = 1,341,652.50

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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.