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Finding the Third Proportional to 854,363.25 and 1,201,604.63

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Solution

The third proportional to 854,363.25 and 1,201,604.63 is: 1,689,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,363.25 : 1,201,604.63 = 1,201,604.63 : x
  2. Step 2: Convert to fraction form
    854,363.25/1,201,604.63 = 1,201,604.63/x
  3. Step 3: Cross multiply
    854,363.25x = 1,201,604.63 × 1,201,604.63
  4. Step 4: Simplify right side
    854,363.25x = 1,443,853,674,821.39
  5. Step 5: Solve for x
    x = 1,443,853,674,821.39/854,363.25
  6. Step 6: Final answer
    x = 1,689,976.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.