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Finding the Third Proportional to 1,664,317 and 3,584,999

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Solution

The third proportional to 1,664,317 and 3,584,999 is: 7,722,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,317 : 3,584,999 = 3,584,999 : x
  2. Step 2: Convert to fraction form
    1,664,317/3,584,999 = 3,584,999/x
  3. Step 3: Cross multiply
    1,664,317x = 3,584,999 × 3,584,999
  4. Step 4: Simplify right side
    1,664,317x = 12,852,217,830,001
  5. Step 5: Solve for x
    x = 12,852,217,830,001/1,664,317
  6. Step 6: Final answer
    x = 7,722,217.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.