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Finding the Third Proportional to 1,923,028 and 4,203,270

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Solution

The third proportional to 1,923,028 and 4,203,270 is: 9,187,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,028 : 4,203,270 = 4,203,270 : x
  2. Step 2: Convert to fraction form
    1,923,028/4,203,270 = 4,203,270/x
  3. Step 3: Cross multiply
    1,923,028x = 4,203,270 × 4,203,270
  4. Step 4: Simplify right side
    1,923,028x = 17,667,478,692,900
  5. Step 5: Solve for x
    x = 17,667,478,692,900/1,923,028
  6. Step 6: Final answer
    x = 9,187,322.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.