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Finding the Third Proportional to 886,429 and 1,375,206

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Solution

The third proportional to 886,429 and 1,375,206 is: 2,133,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,429 : 1,375,206 = 1,375,206 : x
  2. Step 2: Convert to fraction form
    886,429/1,375,206 = 1,375,206/x
  3. Step 3: Cross multiply
    886,429x = 1,375,206 × 1,375,206
  4. Step 4: Simplify right side
    886,429x = 1,891,191,542,436
  5. Step 5: Solve for x
    x = 1,891,191,542,436/886,429
  6. Step 6: Final answer
    x = 2,133,494.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.