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Finding the Third Proportional to 458,007 and 978,911

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Solution

The third proportional to 458,007 and 978,911 is: 2,092,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,007 : 978,911 = 978,911 : x
  2. Step 2: Convert to fraction form
    458,007/978,911 = 978,911/x
  3. Step 3: Cross multiply
    458,007x = 978,911 × 978,911
  4. Step 4: Simplify right side
    458,007x = 958,266,745,921
  5. Step 5: Solve for x
    x = 958,266,745,921/458,007
  6. Step 6: Final answer
    x = 2,092,253.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.