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Finding the Third Proportional to 3,685,977 and 5,769,594

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Solution

The third proportional to 3,685,977 and 5,769,594 is: 9,031,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685,977 : 5,769,594 = 5,769,594 : x
  2. Step 2: Convert to fraction form
    3,685,977/5,769,594 = 5,769,594/x
  3. Step 3: Cross multiply
    3,685,977x = 5,769,594 × 5,769,594
  4. Step 4: Simplify right side
    3,685,977x = 33,288,214,924,836
  5. Step 5: Solve for x
    x = 33,288,214,924,836/3,685,977
  6. Step 6: Final answer
    x = 9,031,042.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.