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Finding the Third Proportional to 482,943 and 1,048,923

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Solution

The third proportional to 482,943 and 1,048,923 is: 2,278,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,943 : 1,048,923 = 1,048,923 : x
  2. Step 2: Convert to fraction form
    482,943/1,048,923 = 1,048,923/x
  3. Step 3: Cross multiply
    482,943x = 1,048,923 × 1,048,923
  4. Step 4: Simplify right side
    482,943x = 1,100,239,459,929
  5. Step 5: Solve for x
    x = 1,100,239,459,929/482,943
  6. Step 6: Final answer
    x = 2,278,197.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.