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Finding the Third Proportional to 734,022 and 1,122,971.34

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Solution

The third proportional to 734,022 and 1,122,971.34 is: 1,718,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,022 : 1,122,971.34 = 1,122,971.34 : x
  2. Step 2: Convert to fraction form
    734,022/1,122,971.34 = 1,122,971.34/x
  3. Step 3: Cross multiply
    734,022x = 1,122,971.34 × 1,122,971.34
  4. Step 4: Simplify right side
    734,022x = 1,261,064,638,883.68
  5. Step 5: Solve for x
    x = 1,261,064,638,883.68/734,022
  6. Step 6: Final answer
    x = 1,718,020.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.