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Finding the Third Proportional to 1,287,048.75 and 2,821,365

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Solution

The third proportional to 1,287,048.75 and 2,821,365 is: 6,184,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,048.75 : 2,821,365 = 2,821,365 : x
  2. Step 2: Convert to fraction form
    1,287,048.75/2,821,365 = 2,821,365/x
  3. Step 3: Cross multiply
    1,287,048.75x = 2,821,365 × 2,821,365
  4. Step 4: Simplify right side
    1,287,048.75x = 7,960,100,463,225
  5. Step 5: Solve for x
    x = 7,960,100,463,225/1,287,048.75
  6. Step 6: Final answer
    x = 6,184,769.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.