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Finding the Third Proportional to 2,921,838 and 6,404,100

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Solution

The third proportional to 2,921,838 and 6,404,100 is: 14,036,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921,838 : 6,404,100 = 6,404,100 : x
  2. Step 2: Convert to fraction form
    2,921,838/6,404,100 = 6,404,100/x
  3. Step 3: Cross multiply
    2,921,838x = 6,404,100 × 6,404,100
  4. Step 4: Simplify right side
    2,921,838x = 41,012,496,810,000
  5. Step 5: Solve for x
    x = 41,012,496,810,000/2,921,838
  6. Step 6: Final answer
    x = 14,036,540.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.