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Finding the Third Proportional to 1,397,472 and 3,285,024

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Solution

The third proportional to 1,397,472 and 3,285,024 is: 7,722,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,472 : 3,285,024 = 3,285,024 : x
  2. Step 2: Convert to fraction form
    1,397,472/3,285,024 = 3,285,024/x
  3. Step 3: Cross multiply
    1,397,472x = 3,285,024 × 3,285,024
  4. Step 4: Simplify right side
    1,397,472x = 10,791,382,680,576
  5. Step 5: Solve for x
    x = 10,791,382,680,576/1,397,472
  6. Step 6: Final answer
    x = 7,722,074.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.