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Finding the Third Proportional to 669,357 and 1,470,966

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Solution

The third proportional to 669,357 and 1,470,966 is: 3,232,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,357 : 1,470,966 = 1,470,966 : x
  2. Step 2: Convert to fraction form
    669,357/1,470,966 = 1,470,966/x
  3. Step 3: Cross multiply
    669,357x = 1,470,966 × 1,470,966
  4. Step 4: Simplify right side
    669,357x = 2,163,740,973,156
  5. Step 5: Solve for x
    x = 2,163,740,973,156/669,357
  6. Step 6: Final answer
    x = 3,232,566.44

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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.