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Finding the Third Proportional to 4,213,696 and 6,381,726

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Solution

The third proportional to 4,213,696 and 6,381,726 is: 9,665,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213,696 : 6,381,726 = 6,381,726 : x
  2. Step 2: Convert to fraction form
    4,213,696/6,381,726 = 6,381,726/x
  3. Step 3: Cross multiply
    4,213,696x = 6,381,726 × 6,381,726
  4. Step 4: Simplify right side
    4,213,696x = 40,726,426,739,076
  5. Step 5: Solve for x
    x = 40,726,426,739,076/4,213,696
  6. Step 6: Final answer
    x = 9,665,250.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.