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Finding the Third Proportional to 594,733 and 889,503

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Solution

The third proportional to 594,733 and 889,503 is: 1,330,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,733 : 889,503 = 889,503 : x
  2. Step 2: Convert to fraction form
    594,733/889,503 = 889,503/x
  3. Step 3: Cross multiply
    594,733x = 889,503 × 889,503
  4. Step 4: Simplify right side
    594,733x = 791,215,587,009
  5. Step 5: Solve for x
    x = 791,215,587,009/594,733
  6. Step 6: Final answer
    x = 1,330,371.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.