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Finding the Third Proportional to 969,575 and 2,094,022

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Solution

The third proportional to 969,575 and 2,094,022 is: 4,522,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,575 : 2,094,022 = 2,094,022 : x
  2. Step 2: Convert to fraction form
    969,575/2,094,022 = 2,094,022/x
  3. Step 3: Cross multiply
    969,575x = 2,094,022 × 2,094,022
  4. Step 4: Simplify right side
    969,575x = 4,384,928,136,484
  5. Step 5: Solve for x
    x = 4,384,928,136,484/969,575
  6. Step 6: Final answer
    x = 4,522,525.99

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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.