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Finding the Third Proportional to 942,038 and 2,040,460

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Solution

The third proportional to 942,038 and 2,040,460 is: 4,419,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,038 : 2,040,460 = 2,040,460 : x
  2. Step 2: Convert to fraction form
    942,038/2,040,460 = 2,040,460/x
  3. Step 3: Cross multiply
    942,038x = 2,040,460 × 2,040,460
  4. Step 4: Simplify right side
    942,038x = 4,163,477,011,600
  5. Step 5: Solve for x
    x = 4,163,477,011,600/942,038
  6. Step 6: Final answer
    x = 4,419,648.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.