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Finding the Third Proportional to 1,477,063.69 and 3,206,214.56

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Solution

The third proportional to 1,477,063.69 and 3,206,214.56 is: 6,959,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,063.69 : 3,206,214.56 = 3,206,214.56 : x
  2. Step 2: Convert to fraction form
    1,477,063.69/3,206,214.56 = 3,206,214.56/x
  3. Step 3: Cross multiply
    1,477,063.69x = 3,206,214.56 × 3,206,214.56
  4. Step 4: Simplify right side
    1,477,063.69x = 10,279,811,820,787.07
  5. Step 5: Solve for x
    x = 10,279,811,820,787.07/1,477,063.69
  6. Step 6: Final answer
    x = 6,959,626.66

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