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Finding the Third Proportional to 1,966,612.50 and 4,279,317.75

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Solution

The third proportional to 1,966,612.50 and 4,279,317.75 is: 9,311,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,612.50 : 4,279,317.75 = 4,279,317.75 : x
  2. Step 2: Convert to fraction form
    1,966,612.50/4,279,317.75 = 4,279,317.75/x
  3. Step 3: Cross multiply
    1,966,612.50x = 4,279,317.75 × 4,279,317.75
  4. Step 4: Simplify right side
    1,966,612.50x = 18,312,560,405,465.06
  5. Step 5: Solve for x
    x = 18,312,560,405,465.06/1,966,612.50
  6. Step 6: Final answer
    x = 9,311,727.86

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Why These Related Problems?

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