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Finding the Third Proportional to 399,006 and 886,585.50

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Solution

The third proportional to 399,006 and 886,585.50 is: 1,969,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,006 : 886,585.50 = 886,585.50 : x
  2. Step 2: Convert to fraction form
    399,006/886,585.50 = 886,585.50/x
  3. Step 3: Cross multiply
    399,006x = 886,585.50 × 886,585.50
  4. Step 4: Simplify right side
    399,006x = 786,033,848,810.25
  5. Step 5: Solve for x
    x = 786,033,848,810.25/399,006
  6. Step 6: Final answer
    x = 1,969,980.02

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.