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Finding the Third Proportional to 4,586,993 and 6,416,325

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Solution

The third proportional to 4,586,993 and 6,416,325 is: 8,975,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586,993 : 6,416,325 = 6,416,325 : x
  2. Step 2: Convert to fraction form
    4,586,993/6,416,325 = 6,416,325/x
  3. Step 3: Cross multiply
    4,586,993x = 6,416,325 × 6,416,325
  4. Step 4: Simplify right side
    4,586,993x = 41,169,226,505,625
  5. Step 5: Solve for x
    x = 41,169,226,505,625/4,586,993
  6. Step 6: Final answer
    x = 8,975,210.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.