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Finding the Third Proportional to 1,696,299 and 3,658,319

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Solution

The third proportional to 1,696,299 and 3,658,319 is: 7,889,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,299 : 3,658,319 = 3,658,319 : x
  2. Step 2: Convert to fraction form
    1,696,299/3,658,319 = 3,658,319/x
  3. Step 3: Cross multiply
    1,696,299x = 3,658,319 × 3,658,319
  4. Step 4: Simplify right side
    1,696,299x = 13,383,297,905,761
  5. Step 5: Solve for x
    x = 13,383,297,905,761/1,696,299
  6. Step 6: Final answer
    x = 7,889,704.53

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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.