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Finding the Third Proportional to 479,808 and 1,033,427.25

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Solution

The third proportional to 479,808 and 1,033,427.25 is: 2,225,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,808 : 1,033,427.25 = 1,033,427.25 : x
  2. Step 2: Convert to fraction form
    479,808/1,033,427.25 = 1,033,427.25/x
  3. Step 3: Cross multiply
    479,808x = 1,033,427.25 × 1,033,427.25
  4. Step 4: Simplify right side
    479,808x = 1,067,971,881,042.56
  5. Step 5: Solve for x
    x = 1,067,971,881,042.56/479,808
  6. Step 6: Final answer
    x = 2,225,831.75

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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.