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Finding the Third Proportional to 972,514 and 2,094,837

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Solution

The third proportional to 972,514 and 2,094,837 is: 4,512,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,514 : 2,094,837 = 2,094,837 : x
  2. Step 2: Convert to fraction form
    972,514/2,094,837 = 2,094,837/x
  3. Step 3: Cross multiply
    972,514x = 2,094,837 × 2,094,837
  4. Step 4: Simplify right side
    972,514x = 4,388,342,056,569
  5. Step 5: Solve for x
    x = 4,388,342,056,569/972,514
  6. Step 6: Final answer
    x = 4,512,369.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.