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Finding the Third Proportional to 644,380 and 1,455,880

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Solution

The third proportional to 644,380 and 1,455,880 is: 3,289,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,380 : 1,455,880 = 1,455,880 : x
  2. Step 2: Convert to fraction form
    644,380/1,455,880 = 1,455,880/x
  3. Step 3: Cross multiply
    644,380x = 1,455,880 × 1,455,880
  4. Step 4: Simplify right side
    644,380x = 2,119,586,574,400
  5. Step 5: Solve for x
    x = 2,119,586,574,400/644,380
  6. Step 6: Final answer
    x = 3,289,342.58

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.