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Finding the Third Proportional to 1,614,677 and 3,806,247

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Solution

The third proportional to 1,614,677 and 3,806,247 is: 8,972,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,677 : 3,806,247 = 3,806,247 : x
  2. Step 2: Convert to fraction form
    1,614,677/3,806,247 = 3,806,247/x
  3. Step 3: Cross multiply
    1,614,677x = 3,806,247 × 3,806,247
  4. Step 4: Simplify right side
    1,614,677x = 14,487,516,225,009
  5. Step 5: Solve for x
    x = 14,487,516,225,009/1,614,677
  6. Step 6: Final answer
    x = 8,972,392.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.