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Finding the Third Proportional to 1,780,704 and 3,841,344

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Solution

The third proportional to 1,780,704 and 3,841,344 is: 8,286,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,704 : 3,841,344 = 3,841,344 : x
  2. Step 2: Convert to fraction form
    1,780,704/3,841,344 = 3,841,344/x
  3. Step 3: Cross multiply
    1,780,704x = 3,841,344 × 3,841,344
  4. Step 4: Simplify right side
    1,780,704x = 14,755,923,726,336
  5. Step 5: Solve for x
    x = 14,755,923,726,336/1,780,704
  6. Step 6: Final answer
    x = 8,286,567.41

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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.