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Finding the Third Proportional to 969,572 and 2,094,016

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Solution

The third proportional to 969,572 and 2,094,016 is: 4,522,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,572 : 2,094,016 = 2,094,016 : x
  2. Step 2: Convert to fraction form
    969,572/2,094,016 = 2,094,016/x
  3. Step 3: Cross multiply
    969,572x = 2,094,016 × 2,094,016
  4. Step 4: Simplify right side
    969,572x = 4,384,903,008,256
  5. Step 5: Solve for x
    x = 4,384,903,008,256/969,572
  6. Step 6: Final answer
    x = 4,522,514.07

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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.