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Finding the Third Proportional to 1,765,821 and 3,811,416

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Solution

The third proportional to 1,765,821 and 3,811,416 is: 8,226,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,821 : 3,811,416 = 3,811,416 : x
  2. Step 2: Convert to fraction form
    1,765,821/3,811,416 = 3,811,416/x
  3. Step 3: Cross multiply
    1,765,821x = 3,811,416 × 3,811,416
  4. Step 4: Simplify right side
    1,765,821x = 14,526,891,925,056
  5. Step 5: Solve for x
    x = 14,526,891,925,056/1,765,821
  6. Step 6: Final answer
    x = 8,226,706.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.