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Finding the Third Proportional to 1,858,241.25 and 4,114,450.69

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Solution

The third proportional to 1,858,241.25 and 4,114,450.69 is: 9,110,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858,241.25 : 4,114,450.69 = 4,114,450.69 : x
  2. Step 2: Convert to fraction form
    1,858,241.25/4,114,450.69 = 4,114,450.69/x
  3. Step 3: Cross multiply
    1,858,241.25x = 4,114,450.69 × 4,114,450.69
  4. Step 4: Simplify right side
    1,858,241.25x = 16,928,704,459,869.22
  5. Step 5: Solve for x
    x = 16,928,704,459,869.22/1,858,241.25
  6. Step 6: Final answer
    x = 9,110,068.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.