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Finding the Third Proportional to 920.74 and 1,920.59

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Solution

The third proportional to 920.74 and 1,920.59 is: 4,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.74 : 1,920.59 = 1,920.59 : x
  2. Step 2: Convert to fraction form
    920.74/1,920.59 = 1,920.59/x
  3. Step 3: Cross multiply
    920.74x = 1,920.59 × 1,920.59
  4. Step 4: Simplify right side
    920.74x = 3,688,650.34
  5. Step 5: Solve for x
    x = 3,688,650.34/920.74
  6. Step 6: Final answer
    x = 4,006.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.