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Finding the Third Proportional to 983,794 and 1,504,239

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Solution

The third proportional to 983,794 and 1,504,239 is: 2,300,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,794 : 1,504,239 = 1,504,239 : x
  2. Step 2: Convert to fraction form
    983,794/1,504,239 = 1,504,239/x
  3. Step 3: Cross multiply
    983,794x = 1,504,239 × 1,504,239
  4. Step 4: Simplify right side
    983,794x = 2,262,734,969,121
  5. Step 5: Solve for x
    x = 2,262,734,969,121/983,794
  6. Step 6: Final answer
    x = 2,300,008.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.