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Finding the Third Proportional to 665,954 and 1,453,570

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Solution

The third proportional to 665,954 and 1,453,570 is: 3,172,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,954 : 1,453,570 = 1,453,570 : x
  2. Step 2: Convert to fraction form
    665,954/1,453,570 = 1,453,570/x
  3. Step 3: Cross multiply
    665,954x = 1,453,570 × 1,453,570
  4. Step 4: Simplify right side
    665,954x = 2,112,865,744,900
  5. Step 5: Solve for x
    x = 2,112,865,744,900/665,954
  6. Step 6: Final answer
    x = 3,172,690.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.