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Finding the Third Proportional to 1,780,569 and 3,773,016

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Solution

The third proportional to 1,780,569 and 3,773,016 is: 7,995,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,569 : 3,773,016 = 3,773,016 : x
  2. Step 2: Convert to fraction form
    1,780,569/3,773,016 = 3,773,016/x
  3. Step 3: Cross multiply
    1,780,569x = 3,773,016 × 3,773,016
  4. Step 4: Simplify right side
    1,780,569x = 14,235,649,736,256
  5. Step 5: Solve for x
    x = 14,235,649,736,256/1,780,569
  6. Step 6: Final answer
    x = 7,995,000.33

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.