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Finding the Third Proportional to 603,640.69 and 1,312,114.78

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Solution

The third proportional to 603,640.69 and 1,312,114.78 is: 2,852,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,640.69 : 1,312,114.78 = 1,312,114.78 : x
  2. Step 2: Convert to fraction form
    603,640.69/1,312,114.78 = 1,312,114.78/x
  3. Step 3: Cross multiply
    603,640.69x = 1,312,114.78 × 1,312,114.78
  4. Step 4: Simplify right side
    603,640.69x = 1,721,645,199,174.74
  5. Step 5: Solve for x
    x = 1,721,645,199,174.74/603,640.69
  6. Step 6: Final answer
    x = 2,852,102.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.