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Finding the Third Proportional to 673,651.69 and 1,007,817.19

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Solution

The third proportional to 673,651.69 and 1,007,817.19 is: 1,507,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,651.69 : 1,007,817.19 = 1,007,817.19 : x
  2. Step 2: Convert to fraction form
    673,651.69/1,007,817.19 = 1,007,817.19/x
  3. Step 3: Cross multiply
    673,651.69x = 1,007,817.19 × 1,007,817.19
  4. Step 4: Simplify right side
    673,651.69x = 1,015,695,483,420.41
  5. Step 5: Solve for x
    x = 1,015,695,483,420.41/673,651.69
  6. Step 6: Final answer
    x = 1,507,745.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.