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Finding the Third Proportional to 1,465,191 and 2,264,211

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Solution

The third proportional to 1,465,191 and 2,264,211 is: 3,498,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,191 : 2,264,211 = 2,264,211 : x
  2. Step 2: Convert to fraction form
    1,465,191/2,264,211 = 2,264,211/x
  3. Step 3: Cross multiply
    1,465,191x = 2,264,211 × 2,264,211
  4. Step 4: Simplify right side
    1,465,191x = 5,126,651,452,521
  5. Step 5: Solve for x
    x = 5,126,651,452,521/1,465,191
  6. Step 6: Final answer
    x = 3,498,964.61

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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.