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Finding the Third Proportional to 930,296 and 2,009,296

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Solution

The third proportional to 930,296 and 2,009,296 is: 4,339,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,296 : 2,009,296 = 2,009,296 : x
  2. Step 2: Convert to fraction form
    930,296/2,009,296 = 2,009,296/x
  3. Step 3: Cross multiply
    930,296x = 2,009,296 × 2,009,296
  4. Step 4: Simplify right side
    930,296x = 4,037,270,415,616
  5. Step 5: Solve for x
    x = 4,037,270,415,616/930,296
  6. Step 6: Final answer
    x = 4,339,769.72

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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.