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Finding the Third Proportional to 973,296 and 2,081,100

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Solution

The third proportional to 973,296 and 2,081,100 is: 4,449,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,296 : 2,081,100 = 2,081,100 : x
  2. Step 2: Convert to fraction form
    973,296/2,081,100 = 2,081,100/x
  3. Step 3: Cross multiply
    973,296x = 2,081,100 × 2,081,100
  4. Step 4: Simplify right side
    973,296x = 4,330,977,210,000
  5. Step 5: Solve for x
    x = 4,330,977,210,000/973,296
  6. Step 6: Final answer
    x = 4,449,804.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.