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Finding the Third Proportional to 2,176,932 and 3,273,702

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Solution

The third proportional to 2,176,932 and 3,273,702 is: 4,923,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,932 : 3,273,702 = 3,273,702 : x
  2. Step 2: Convert to fraction form
    2,176,932/3,273,702 = 3,273,702/x
  3. Step 3: Cross multiply
    2,176,932x = 3,273,702 × 3,273,702
  4. Step 4: Simplify right side
    2,176,932x = 10,717,124,784,804
  5. Step 5: Solve for x
    x = 10,717,124,784,804/2,176,932
  6. Step 6: Final answer
    x = 4,923,040.68

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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.