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Finding the Third Proportional to 589,846 and 889,602

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Solution

The third proportional to 589,846 and 889,602 is: 1,341,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,846 : 889,602 = 889,602 : x
  2. Step 2: Convert to fraction form
    589,846/889,602 = 889,602/x
  3. Step 3: Cross multiply
    589,846x = 889,602 × 889,602
  4. Step 4: Simplify right side
    589,846x = 791,391,718,404
  5. Step 5: Solve for x
    x = 791,391,718,404/589,846
  6. Step 6: Final answer
    x = 1,341,692.10

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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.