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Finding the Third Proportional to 1,231,033.50 and 2,778,159.75

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Solution

The third proportional to 1,231,033.50 and 2,778,159.75 is: 6,269,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,033.50 : 2,778,159.75 = 2,778,159.75 : x
  2. Step 2: Convert to fraction form
    1,231,033.50/2,778,159.75 = 2,778,159.75/x
  3. Step 3: Cross multiply
    1,231,033.50x = 2,778,159.75 × 2,778,159.75
  4. Step 4: Simplify right side
    1,231,033.50x = 7,718,171,596,520.06
  5. Step 5: Solve for x
    x = 7,718,171,596,520.06/1,231,033.50
  6. Step 6: Final answer
    x = 6,269,668.21

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.