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Finding the Third Proportional to 762,290 and 1,505,296

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Solution

The third proportional to 762,290 and 1,505,296 is: 2,972,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,290 : 1,505,296 = 1,505,296 : x
  2. Step 2: Convert to fraction form
    762,290/1,505,296 = 1,505,296/x
  3. Step 3: Cross multiply
    762,290x = 1,505,296 × 1,505,296
  4. Step 4: Simplify right side
    762,290x = 2,265,916,047,616
  5. Step 5: Solve for x
    x = 2,265,916,047,616/762,290
  6. Step 6: Final answer
    x = 2,972,511.84

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.