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Finding the Third Proportional to 406,467 and 934,855.50

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Solution

The third proportional to 406,467 and 934,855.50 is: 2,150,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,467 : 934,855.50 = 934,855.50 : x
  2. Step 2: Convert to fraction form
    406,467/934,855.50 = 934,855.50/x
  3. Step 3: Cross multiply
    406,467x = 934,855.50 × 934,855.50
  4. Step 4: Simplify right side
    406,467x = 873,954,805,880.25
  5. Step 5: Solve for x
    x = 873,954,805,880.25/406,467
  6. Step 6: Final answer
    x = 2,150,124.87

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.