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Finding the Third Proportional to 458,223 and 1,006,104

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Solution

The third proportional to 458,223 and 1,006,104 is: 2,209,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,223 : 1,006,104 = 1,006,104 : x
  2. Step 2: Convert to fraction form
    458,223/1,006,104 = 1,006,104/x
  3. Step 3: Cross multiply
    458,223x = 1,006,104 × 1,006,104
  4. Step 4: Simplify right side
    458,223x = 1,012,245,258,816
  5. Step 5: Solve for x
    x = 1,012,245,258,816/458,223
  6. Step 6: Final answer
    x = 2,209,066.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.