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Finding the Third Proportional to 2,119,385.25 and 4,463,910

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Solution

The third proportional to 2,119,385.25 and 4,463,910 is: 9,402,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119,385.25 : 4,463,910 = 4,463,910 : x
  2. Step 2: Convert to fraction form
    2,119,385.25/4,463,910 = 4,463,910/x
  3. Step 3: Cross multiply
    2,119,385.25x = 4,463,910 × 4,463,910
  4. Step 4: Simplify right side
    2,119,385.25x = 19,926,492,488,100
  5. Step 5: Solve for x
    x = 19,926,492,488,100/2,119,385.25
  6. Step 6: Final answer
    x = 9,402,015.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.