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Finding the Third Proportional to 444,906 and 1,049,797.13

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Solution

The third proportional to 444,906 and 1,049,797.13 is: 2,477,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,906 : 1,049,797.13 = 1,049,797.13 : x
  2. Step 2: Convert to fraction form
    444,906/1,049,797.13 = 1,049,797.13/x
  3. Step 3: Cross multiply
    444,906x = 1,049,797.13 × 1,049,797.13
  4. Step 4: Simplify right side
    444,906x = 1,102,074,003,658.27
  5. Step 5: Solve for x
    x = 1,102,074,003,658.27/444,906
  6. Step 6: Final answer
    x = 2,477,094.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.