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Finding the Third Proportional to 1,595,025 and 3,500,057

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Solution

The third proportional to 1,595,025 and 3,500,057 is: 7,680,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595,025 : 3,500,057 = 3,500,057 : x
  2. Step 2: Convert to fraction form
    1,595,025/3,500,057 = 3,500,057/x
  3. Step 3: Cross multiply
    1,595,025x = 3,500,057 × 3,500,057
  4. Step 4: Simplify right side
    1,595,025x = 12,250,399,003,249
  5. Step 5: Solve for x
    x = 12,250,399,003,249/1,595,025
  6. Step 6: Final answer
    x = 7,680,380.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.