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Finding the Third Proportional to 777,324 and 1,673,880

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Solution

The third proportional to 777,324 and 1,673,880 is: 3,604,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,324 : 1,673,880 = 1,673,880 : x
  2. Step 2: Convert to fraction form
    777,324/1,673,880 = 1,673,880/x
  3. Step 3: Cross multiply
    777,324x = 1,673,880 × 1,673,880
  4. Step 4: Simplify right side
    777,324x = 2,801,874,254,400
  5. Step 5: Solve for x
    x = 2,801,874,254,400/777,324
  6. Step 6: Final answer
    x = 3,604,512.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.