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Finding the Third Proportional to 661,286 and 1,440,670

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Solution

The third proportional to 661,286 and 1,440,670 is: 3,138,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,286 : 1,440,670 = 1,440,670 : x
  2. Step 2: Convert to fraction form
    661,286/1,440,670 = 1,440,670/x
  3. Step 3: Cross multiply
    661,286x = 1,440,670 × 1,440,670
  4. Step 4: Simplify right side
    661,286x = 2,075,530,048,900
  5. Step 5: Solve for x
    x = 2,075,530,048,900/661,286
  6. Step 6: Final answer
    x = 3,138,626.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.