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Finding the Third Proportional to 669,472 and 1,474,753

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Solution

The third proportional to 669,472 and 1,474,753 is: 3,248,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,472 : 1,474,753 = 1,474,753 : x
  2. Step 2: Convert to fraction form
    669,472/1,474,753 = 1,474,753/x
  3. Step 3: Cross multiply
    669,472x = 1,474,753 × 1,474,753
  4. Step 4: Simplify right side
    669,472x = 2,174,896,411,009
  5. Step 5: Solve for x
    x = 2,174,896,411,009/669,472
  6. Step 6: Final answer
    x = 3,248,674.20

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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.