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Finding the Third Proportional to 2,032,746 and 2,992,912

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Solution

The third proportional to 2,032,746 and 2,992,912 is: 4,406,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,746 : 2,992,912 = 2,992,912 : x
  2. Step 2: Convert to fraction form
    2,032,746/2,992,912 = 2,992,912/x
  3. Step 3: Cross multiply
    2,032,746x = 2,992,912 × 2,992,912
  4. Step 4: Simplify right side
    2,032,746x = 8,957,522,239,744
  5. Step 5: Solve for x
    x = 8,957,522,239,744/2,032,746
  6. Step 6: Final answer
    x = 4,406,611.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.