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Finding the Third Proportional to 691,878 and 1,519,964

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Solution

The third proportional to 691,878 and 1,519,964 is: 3,339,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,878 : 1,519,964 = 1,519,964 : x
  2. Step 2: Convert to fraction form
    691,878/1,519,964 = 1,519,964/x
  3. Step 3: Cross multiply
    691,878x = 1,519,964 × 1,519,964
  4. Step 4: Simplify right side
    691,878x = 2,310,290,561,296
  5. Step 5: Solve for x
    x = 2,310,290,561,296/691,878
  6. Step 6: Final answer
    x = 3,339,158.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.