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Finding the Third Proportional to 942,024 and 2,040,432

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Solution

The third proportional to 942,024 and 2,040,432 is: 4,419,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,024 : 2,040,432 = 2,040,432 : x
  2. Step 2: Convert to fraction form
    942,024/2,040,432 = 2,040,432/x
  3. Step 3: Cross multiply
    942,024x = 2,040,432 × 2,040,432
  4. Step 4: Simplify right side
    942,024x = 4,163,362,746,624
  5. Step 5: Solve for x
    x = 4,163,362,746,624/942,024
  6. Step 6: Final answer
    x = 4,419,593.07

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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.