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Finding the Third Proportional to 1,367,271.75 and 2,980,566.75

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Solution

The third proportional to 1,367,271.75 and 2,980,566.75 is: 6,497,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,271.75 : 2,980,566.75 = 2,980,566.75 : x
  2. Step 2: Convert to fraction form
    1,367,271.75/2,980,566.75 = 2,980,566.75/x
  3. Step 3: Cross multiply
    1,367,271.75x = 2,980,566.75 × 2,980,566.75
  4. Step 4: Simplify right side
    1,367,271.75x = 8,883,778,151,205.56
  5. Step 5: Solve for x
    x = 8,883,778,151,205.56/1,367,271.75
  6. Step 6: Final answer
    x = 6,497,448.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.