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Finding the Third Proportional to 574,096 and 1,235,944

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Solution

The third proportional to 574,096 and 1,235,944 is: 2,660,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,096 : 1,235,944 = 1,235,944 : x
  2. Step 2: Convert to fraction form
    574,096/1,235,944 = 1,235,944/x
  3. Step 3: Cross multiply
    574,096x = 1,235,944 × 1,235,944
  4. Step 4: Simplify right side
    574,096x = 1,527,557,571,136
  5. Step 5: Solve for x
    x = 1,527,557,571,136/574,096
  6. Step 6: Final answer
    x = 2,660,805.11

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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.