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Finding the Third Proportional to 380,429 and 899,672

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Solution

The third proportional to 380,429 and 899,672 is: 2,127,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,429 : 899,672 = 899,672 : x
  2. Step 2: Convert to fraction form
    380,429/899,672 = 899,672/x
  3. Step 3: Cross multiply
    380,429x = 899,672 × 899,672
  4. Step 4: Simplify right side
    380,429x = 809,409,707,584
  5. Step 5: Solve for x
    x = 809,409,707,584/380,429
  6. Step 6: Final answer
    x = 2,127,623.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.