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Finding the Third Proportional to 380,443 and 899,707

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Solution

The third proportional to 380,443 and 899,707 is: 2,127,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,443 : 899,707 = 899,707 : x
  2. Step 2: Convert to fraction form
    380,443/899,707 = 899,707/x
  3. Step 3: Cross multiply
    380,443x = 899,707 × 899,707
  4. Step 4: Simplify right side
    380,443x = 809,472,685,849
  5. Step 5: Solve for x
    x = 809,472,685,849/380,443
  6. Step 6: Final answer
    x = 2,127,710.82

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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.