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Finding the Third Proportional to 756,266 and 1,134,400

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Solution

The third proportional to 756,266 and 1,134,400 is: 1,701,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,266 : 1,134,400 = 1,134,400 : x
  2. Step 2: Convert to fraction form
    756,266/1,134,400 = 1,134,400/x
  3. Step 3: Cross multiply
    756,266x = 1,134,400 × 1,134,400
  4. Step 4: Simplify right side
    756,266x = 1,286,863,360,000
  5. Step 5: Solve for x
    x = 1,286,863,360,000/756,266
  6. Step 6: Final answer
    x = 1,701,601.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.