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Finding the Third Proportional to 903,986 and 1,227,724

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Solution

The third proportional to 903,986 and 1,227,724 is: 1,667,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,986 : 1,227,724 = 1,227,724 : x
  2. Step 2: Convert to fraction form
    903,986/1,227,724 = 1,227,724/x
  3. Step 3: Cross multiply
    903,986x = 1,227,724 × 1,227,724
  4. Step 4: Simplify right side
    903,986x = 1,507,306,220,176
  5. Step 5: Solve for x
    x = 1,507,306,220,176/903,986
  6. Step 6: Final answer
    x = 1,667,399.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.