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Finding the Third Proportional to 412,186,183.25 and 888,940,624.50

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Solution

The third proportional to 412,186,183.25 and 888,940,624.50 is: 1,917,132,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,183.25 : 888,940,624.50 = 888,940,624.50 : x
  2. Step 2: Convert to fraction form
    412,186,183.25/888,940,624.50 = 888,940,624.50/x
  3. Step 3: Cross multiply
    412,186,183.25x = 888,940,624.50 × 888,940,624.50
  4. Step 4: Simplify right side
    412,186,183.25x = 790,215,433,886,450,048
  5. Step 5: Solve for x
    x = 790,215,433,886,450,048/412,186,183.25
  6. Step 6: Final answer
    x = 1,917,132,271.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.