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Finding the Third Proportional to 593,504 and 1,257,640

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Solution

The third proportional to 593,504 and 1,257,640 is: 2,664,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,504 : 1,257,640 = 1,257,640 : x
  2. Step 2: Convert to fraction form
    593,504/1,257,640 = 1,257,640/x
  3. Step 3: Cross multiply
    593,504x = 1,257,640 × 1,257,640
  4. Step 4: Simplify right side
    593,504x = 1,581,658,369,600
  5. Step 5: Solve for x
    x = 1,581,658,369,600/593,504
  6. Step 6: Final answer
    x = 2,664,949.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.