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Finding the Third Proportional to 444,454 and 958,405

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Solution

The third proportional to 444,454 and 958,405 is: 2,066,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,454 : 958,405 = 958,405 : x
  2. Step 2: Convert to fraction form
    444,454/958,405 = 958,405/x
  3. Step 3: Cross multiply
    444,454x = 958,405 × 958,405
  4. Step 4: Simplify right side
    444,454x = 918,540,144,025
  5. Step 5: Solve for x
    x = 918,540,144,025/444,454
  6. Step 6: Final answer
    x = 2,066,670.89

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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.