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Finding the Third Proportional to 625,993 and 1,349,330

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Solution

The third proportional to 625,993 and 1,349,330 is: 2,908,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,993 : 1,349,330 = 1,349,330 : x
  2. Step 2: Convert to fraction form
    625,993/1,349,330 = 1,349,330/x
  3. Step 3: Cross multiply
    625,993x = 1,349,330 × 1,349,330
  4. Step 4: Simplify right side
    625,993x = 1,820,691,448,900
  5. Step 5: Solve for x
    x = 1,820,691,448,900/625,993
  6. Step 6: Final answer
    x = 2,908,485.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.