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Finding the Third Proportional to 646,380 and 1,396,008

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Solution

The third proportional to 646,380 and 1,396,008 is: 3,015,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,380 : 1,396,008 = 1,396,008 : x
  2. Step 2: Convert to fraction form
    646,380/1,396,008 = 1,396,008/x
  3. Step 3: Cross multiply
    646,380x = 1,396,008 × 1,396,008
  4. Step 4: Simplify right side
    646,380x = 1,948,838,336,064
  5. Step 5: Solve for x
    x = 1,948,838,336,064/646,380
  6. Step 6: Final answer
    x = 3,015,004.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.