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Finding the Third Proportional to 664,546 and 1,416,084

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Solution

The third proportional to 664,546 and 1,416,084 is: 3,017,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,546 : 1,416,084 = 1,416,084 : x
  2. Step 2: Convert to fraction form
    664,546/1,416,084 = 1,416,084/x
  3. Step 3: Cross multiply
    664,546x = 1,416,084 × 1,416,084
  4. Step 4: Simplify right side
    664,546x = 2,005,293,895,056
  5. Step 5: Solve for x
    x = 2,005,293,895,056/664,546
  6. Step 6: Final answer
    x = 3,017,539.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.