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Finding the Third Proportional to 967,194 and 1,524,987

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Solution

The third proportional to 967,194 and 1,524,987 is: 2,404,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,194 : 1,524,987 = 1,524,987 : x
  2. Step 2: Convert to fraction form
    967,194/1,524,987 = 1,524,987/x
  3. Step 3: Cross multiply
    967,194x = 1,524,987 × 1,524,987
  4. Step 4: Simplify right side
    967,194x = 2,325,585,350,169
  5. Step 5: Solve for x
    x = 2,325,585,350,169/967,194
  6. Step 6: Final answer
    x = 2,404,466.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.