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Finding the Third Proportional to 1,919,658 and 4,200,900

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Solution

The third proportional to 1,919,658 and 4,200,900 is: 9,193,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,658 : 4,200,900 = 4,200,900 : x
  2. Step 2: Convert to fraction form
    1,919,658/4,200,900 = 4,200,900/x
  3. Step 3: Cross multiply
    1,919,658x = 4,200,900 × 4,200,900
  4. Step 4: Simplify right side
    1,919,658x = 17,647,560,810,000
  5. Step 5: Solve for x
    x = 17,647,560,810,000/1,919,658
  6. Step 6: Final answer
    x = 9,193,075.44

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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.