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Finding the Third Proportional to 2,353,551 and 3,527,164

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Solution

The third proportional to 2,353,551 and 3,527,164 is: 5,286,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,551 : 3,527,164 = 3,527,164 : x
  2. Step 2: Convert to fraction form
    2,353,551/3,527,164 = 3,527,164/x
  3. Step 3: Cross multiply
    2,353,551x = 3,527,164 × 3,527,164
  4. Step 4: Simplify right side
    2,353,551x = 12,440,885,882,896
  5. Step 5: Solve for x
    x = 12,440,885,882,896/2,353,551
  6. Step 6: Final answer
    x = 5,286,006.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.