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Finding the Third Proportional to 626,144 and 1,340,832

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Solution

The third proportional to 626,144 and 1,340,832 is: 2,871,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,144 : 1,340,832 = 1,340,832 : x
  2. Step 2: Convert to fraction form
    626,144/1,340,832 = 1,340,832/x
  3. Step 3: Cross multiply
    626,144x = 1,340,832 × 1,340,832
  4. Step 4: Simplify right side
    626,144x = 1,797,830,452,224
  5. Step 5: Solve for x
    x = 1,797,830,452,224/626,144
  6. Step 6: Final answer
    x = 2,871,273.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.