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Finding the Third Proportional to 1,312,034.20 and 2,728,814.06

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Solution

The third proportional to 1,312,034.20 and 2,728,814.06 is: 5,675,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,034.20 : 2,728,814.06 = 2,728,814.06 : x
  2. Step 2: Convert to fraction form
    1,312,034.20/2,728,814.06 = 2,728,814.06/x
  3. Step 3: Cross multiply
    1,312,034.20x = 2,728,814.06 × 2,728,814.06
  4. Step 4: Simplify right side
    1,312,034.20x = 7,446,426,187,697.75
  5. Step 5: Solve for x
    x = 7,446,426,187,697.75/1,312,034.20
  6. Step 6: Final answer
    x = 5,675,481.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.