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Finding the Third Proportional to 2,159,889 and 4,640,307

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Solution

The third proportional to 2,159,889 and 4,640,307 is: 9,969,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,889 : 4,640,307 = 4,640,307 : x
  2. Step 2: Convert to fraction form
    2,159,889/4,640,307 = 4,640,307/x
  3. Step 3: Cross multiply
    2,159,889x = 4,640,307 × 4,640,307
  4. Step 4: Simplify right side
    2,159,889x = 21,532,449,054,249
  5. Step 5: Solve for x
    x = 21,532,449,054,249/2,159,889
  6. Step 6: Final answer
    x = 9,969,238.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.