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Finding the Third Proportional to 403,640 and 886,004

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Solution

The third proportional to 403,640 and 886,004 is: 1,944,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,640 : 886,004 = 886,004 : x
  2. Step 2: Convert to fraction form
    403,640/886,004 = 886,004/x
  3. Step 3: Cross multiply
    403,640x = 886,004 × 886,004
  4. Step 4: Simplify right side
    403,640x = 785,003,088,016
  5. Step 5: Solve for x
    x = 785,003,088,016/403,640
  6. Step 6: Final answer
    x = 1,944,809.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.