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Finding the Third Proportional to 667,095 and 1,467,037

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Solution

The third proportional to 667,095 and 1,467,037 is: 3,226,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,095 : 1,467,037 = 1,467,037 : x
  2. Step 2: Convert to fraction form
    667,095/1,467,037 = 1,467,037/x
  3. Step 3: Cross multiply
    667,095x = 1,467,037 × 1,467,037
  4. Step 4: Simplify right side
    667,095x = 2,152,197,559,369
  5. Step 5: Solve for x
    x = 2,152,197,559,369/667,095
  6. Step 6: Final answer
    x = 3,226,223.49

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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.