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Finding the Third Proportional to 1,474,182 and 3,215,178

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Solution

The third proportional to 1,474,182 and 3,215,178 is: 7,012,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,182 : 3,215,178 = 3,215,178 : x
  2. Step 2: Convert to fraction form
    1,474,182/3,215,178 = 3,215,178/x
  3. Step 3: Cross multiply
    1,474,182x = 3,215,178 × 3,215,178
  4. Step 4: Simplify right side
    1,474,182x = 10,337,369,571,684
  5. Step 5: Solve for x
    x = 10,337,369,571,684/1,474,182
  6. Step 6: Final answer
    x = 7,012,274.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.