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Finding the Third Proportional to 669,434 and 1,474,668

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Solution

The third proportional to 669,434 and 1,474,668 is: 3,248,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,434 : 1,474,668 = 1,474,668 : x
  2. Step 2: Convert to fraction form
    669,434/1,474,668 = 1,474,668/x
  3. Step 3: Cross multiply
    669,434x = 1,474,668 × 1,474,668
  4. Step 4: Simplify right side
    669,434x = 2,174,645,710,224
  5. Step 5: Solve for x
    x = 2,174,645,710,224/669,434
  6. Step 6: Final answer
    x = 3,248,484.11

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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.