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Finding the Third Proportional to 591,296 and 1,340,432

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Solution

The third proportional to 591,296 and 1,340,432 is: 3,038,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,296 : 1,340,432 = 1,340,432 : x
  2. Step 2: Convert to fraction form
    591,296/1,340,432 = 1,340,432/x
  3. Step 3: Cross multiply
    591,296x = 1,340,432 × 1,340,432
  4. Step 4: Simplify right side
    591,296x = 1,796,757,946,624
  5. Step 5: Solve for x
    x = 1,796,757,946,624/591,296
  6. Step 6: Final answer
    x = 3,038,677.66

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.