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Finding the Third Proportional to 601,762 and 1,297,566

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Solution

The third proportional to 601,762 and 1,297,566 is: 2,797,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,762 : 1,297,566 = 1,297,566 : x
  2. Step 2: Convert to fraction form
    601,762/1,297,566 = 1,297,566/x
  3. Step 3: Cross multiply
    601,762x = 1,297,566 × 1,297,566
  4. Step 4: Simplify right side
    601,762x = 1,683,677,524,356
  5. Step 5: Solve for x
    x = 1,683,677,524,356/601,762
  6. Step 6: Final answer
    x = 2,797,912.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.