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Finding the Third Proportional to 1,559,059 and 3,416,035

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Solution

The third proportional to 1,559,059 and 3,416,035 is: 7,484,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,059 : 3,416,035 = 3,416,035 : x
  2. Step 2: Convert to fraction form
    1,559,059/3,416,035 = 3,416,035/x
  3. Step 3: Cross multiply
    1,559,059x = 3,416,035 × 3,416,035
  4. Step 4: Simplify right side
    1,559,059x = 11,669,295,121,225
  5. Step 5: Solve for x
    x = 11,669,295,121,225/1,559,059
  6. Step 6: Final answer
    x = 7,484,832.27

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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.