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Finding the Third Proportional to 950,856.75 and 2,114,311.50

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Solution

The third proportional to 950,856.75 and 2,114,311.50 is: 4,701,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,856.75 : 2,114,311.50 = 2,114,311.50 : x
  2. Step 2: Convert to fraction form
    950,856.75/2,114,311.50 = 2,114,311.50/x
  3. Step 3: Cross multiply
    950,856.75x = 2,114,311.50 × 2,114,311.50
  4. Step 4: Simplify right side
    950,856.75x = 4,470,313,119,032.25
  5. Step 5: Solve for x
    x = 4,470,313,119,032.25/950,856.75
  6. Step 6: Final answer
    x = 4,701,352.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.