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Finding the Third Proportional to 380,431 and 899,677

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Solution

The third proportional to 380,431 and 899,677 is: 2,127,636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,431 : 899,677 = 899,677 : x
  2. Step 2: Convert to fraction form
    380,431/899,677 = 899,677/x
  3. Step 3: Cross multiply
    380,431x = 899,677 × 899,677
  4. Step 4: Simplify right side
    380,431x = 809,418,704,329
  5. Step 5: Solve for x
    x = 809,418,704,329/380,431
  6. Step 6: Final answer
    x = 2,127,636.03

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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.