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Finding the Third Proportional to 789,690 and 1,271,745

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Solution

The third proportional to 789,690 and 1,271,745 is: 2,048,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,690 : 1,271,745 = 1,271,745 : x
  2. Step 2: Convert to fraction form
    789,690/1,271,745 = 1,271,745/x
  3. Step 3: Cross multiply
    789,690x = 1,271,745 × 1,271,745
  4. Step 4: Simplify right side
    789,690x = 1,617,335,345,025
  5. Step 5: Solve for x
    x = 1,617,335,345,025/789,690
  6. Step 6: Final answer
    x = 2,048,063.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.