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Finding the Third Proportional to 892,114.25 and 1,271,741.25

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Solution

The third proportional to 892,114.25 and 1,271,741.25 is: 1,812,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,114.25 : 1,271,741.25 = 1,271,741.25 : x
  2. Step 2: Convert to fraction form
    892,114.25/1,271,741.25 = 1,271,741.25/x
  3. Step 3: Cross multiply
    892,114.25x = 1,271,741.25 × 1,271,741.25
  4. Step 4: Simplify right side
    892,114.25x = 1,617,325,806,951.56
  5. Step 5: Solve for x
    x = 1,617,325,806,951.56/892,114.25
  6. Step 6: Final answer
    x = 1,812,913.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.