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Finding the Third Proportional to 1,523,145 and 3,345,177

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Solution

The third proportional to 1,523,145 and 3,345,177 is: 7,346,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,145 : 3,345,177 = 3,345,177 : x
  2. Step 2: Convert to fraction form
    1,523,145/3,345,177 = 3,345,177/x
  3. Step 3: Cross multiply
    1,523,145x = 3,345,177 × 3,345,177
  4. Step 4: Simplify right side
    1,523,145x = 11,190,209,161,329
  5. Step 5: Solve for x
    x = 11,190,209,161,329/1,523,145
  6. Step 6: Final answer
    x = 7,346,778.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.