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Finding the Third Proportional to 591,224 and 1,340,276

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Solution

The third proportional to 591,224 and 1,340,276 is: 3,038,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,224 : 1,340,276 = 1,340,276 : x
  2. Step 2: Convert to fraction form
    591,224/1,340,276 = 1,340,276/x
  3. Step 3: Cross multiply
    591,224x = 1,340,276 × 1,340,276
  4. Step 4: Simplify right side
    591,224x = 1,796,339,756,176
  5. Step 5: Solve for x
    x = 1,796,339,756,176/591,224
  6. Step 6: Final answer
    x = 3,038,340.39

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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.