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Finding the Third Proportional to 965,994 and 2,122,284

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Solution

The third proportional to 965,994 and 2,122,284 is: 4,662,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,994 : 2,122,284 = 2,122,284 : x
  2. Step 2: Convert to fraction form
    965,994/2,122,284 = 2,122,284/x
  3. Step 3: Cross multiply
    965,994x = 2,122,284 × 2,122,284
  4. Step 4: Simplify right side
    965,994x = 4,504,089,376,656
  5. Step 5: Solve for x
    x = 4,504,089,376,656/965,994
  6. Step 6: Final answer
    x = 4,662,647.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.