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Finding the Third Proportional to 1,207,298 and 1,633,795

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Solution

The third proportional to 1,207,298 and 1,633,795 is: 2,210,958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,298 : 1,633,795 = 1,633,795 : x
  2. Step 2: Convert to fraction form
    1,207,298/1,633,795 = 1,633,795/x
  3. Step 3: Cross multiply
    1,207,298x = 1,633,795 × 1,633,795
  4. Step 4: Simplify right side
    1,207,298x = 2,669,286,102,025
  5. Step 5: Solve for x
    x = 2,669,286,102,025/1,207,298
  6. Step 6: Final answer
    x = 2,210,958.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.