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Finding the Third Proportional to 1,780,668 and 4,199,271

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Solution

The third proportional to 1,780,668 and 4,199,271 is: 9,902,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,668 : 4,199,271 = 4,199,271 : x
  2. Step 2: Convert to fraction form
    1,780,668/4,199,271 = 4,199,271/x
  3. Step 3: Cross multiply
    1,780,668x = 4,199,271 × 4,199,271
  4. Step 4: Simplify right side
    1,780,668x = 17,633,876,931,441
  5. Step 5: Solve for x
    x = 17,633,876,931,441/1,780,668
  6. Step 6: Final answer
    x = 9,902,956.04

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.