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Finding the Third Proportional to 1,296,461.25 and 2,800,647

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Solution

The third proportional to 1,296,461.25 and 2,800,647 is: 6,050,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,461.25 : 2,800,647 = 2,800,647 : x
  2. Step 2: Convert to fraction form
    1,296,461.25/2,800,647 = 2,800,647/x
  3. Step 3: Cross multiply
    1,296,461.25x = 2,800,647 × 2,800,647
  4. Step 4: Simplify right side
    1,296,461.25x = 7,843,623,618,609
  5. Step 5: Solve for x
    x = 7,843,623,618,609/1,296,461.25
  6. Step 6: Final answer
    x = 6,050,025.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.