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Finding the Third Proportional to 458,247 and 1,006,152

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Solution

The third proportional to 458,247 and 1,006,152 is: 2,209,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,247 : 1,006,152 = 1,006,152 : x
  2. Step 2: Convert to fraction form
    458,247/1,006,152 = 1,006,152/x
  3. Step 3: Cross multiply
    458,247x = 1,006,152 × 1,006,152
  4. Step 4: Simplify right side
    458,247x = 1,012,341,847,104
  5. Step 5: Solve for x
    x = 1,012,341,847,104/458,247
  6. Step 6: Final answer
    x = 2,209,161.97

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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.