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Finding the Third Proportional to 905,069 and 1,341,947

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Solution

The third proportional to 905,069 and 1,341,947 is: 1,989,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,069 : 1,341,947 = 1,341,947 : x
  2. Step 2: Convert to fraction form
    905,069/1,341,947 = 1,341,947/x
  3. Step 3: Cross multiply
    905,069x = 1,341,947 × 1,341,947
  4. Step 4: Simplify right side
    905,069x = 1,800,821,750,809
  5. Step 5: Solve for x
    x = 1,800,821,750,809/905,069
  6. Step 6: Final answer
    x = 1,989,706.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.