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Finding the Third Proportional to 983,796 and 1,504,242

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Solution

The third proportional to 983,796 and 1,504,242 is: 2,300,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,796 : 1,504,242 = 1,504,242 : x
  2. Step 2: Convert to fraction form
    983,796/1,504,242 = 1,504,242/x
  3. Step 3: Cross multiply
    983,796x = 1,504,242 × 1,504,242
  4. Step 4: Simplify right side
    983,796x = 2,262,743,994,564
  5. Step 5: Solve for x
    x = 2,262,743,994,564/983,796
  6. Step 6: Final answer
    x = 2,300,013.41

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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.