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Finding the Third Proportional to 945,270 and 1,452,947

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Solution

The third proportional to 945,270 and 1,452,947 is: 2,233,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,270 : 1,452,947 = 1,452,947 : x
  2. Step 2: Convert to fraction form
    945,270/1,452,947 = 1,452,947/x
  3. Step 3: Cross multiply
    945,270x = 1,452,947 × 1,452,947
  4. Step 4: Simplify right side
    945,270x = 2,111,054,984,809
  5. Step 5: Solve for x
    x = 2,111,054,984,809/945,270
  6. Step 6: Final answer
    x = 2,233,282.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.