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Finding the Third Proportional to 942,664 and 2,036,024

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Solution

The third proportional to 942,664 and 2,036,024 is: 4,397,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,664 : 2,036,024 = 2,036,024 : x
  2. Step 2: Convert to fraction form
    942,664/2,036,024 = 2,036,024/x
  3. Step 3: Cross multiply
    942,664x = 2,036,024 × 2,036,024
  4. Step 4: Simplify right side
    942,664x = 4,145,393,728,576
  5. Step 5: Solve for x
    x = 4,145,393,728,576/942,664
  6. Step 6: Final answer
    x = 4,397,530.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.