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Finding the Third Proportional to 975,965.25 and 2,114,847.75

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Solution

The third proportional to 975,965.25 and 2,114,847.75 is: 4,582,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,965.25 : 2,114,847.75 = 2,114,847.75 : x
  2. Step 2: Convert to fraction form
    975,965.25/2,114,847.75 = 2,114,847.75/x
  3. Step 3: Cross multiply
    975,965.25x = 2,114,847.75 × 2,114,847.75
  4. Step 4: Simplify right side
    975,965.25x = 4,472,581,005,680.06
  5. Step 5: Solve for x
    x = 4,472,581,005,680.06/975,965.25
  6. Step 6: Final answer
    x = 4,582,725.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.