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Finding the Third Proportional to 669,432 and 1,474,664

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Solution

The third proportional to 669,432 and 1,474,664 is: 3,248,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,432 : 1,474,664 = 1,474,664 : x
  2. Step 2: Convert to fraction form
    669,432/1,474,664 = 1,474,664/x
  3. Step 3: Cross multiply
    669,432x = 1,474,664 × 1,474,664
  4. Step 4: Simplify right side
    669,432x = 2,174,633,912,896
  5. Step 5: Solve for x
    x = 2,174,633,912,896/669,432
  6. Step 6: Final answer
    x = 3,248,476.19

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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.