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Finding the Third Proportional to 2,102,376 and 4,611,696

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Solution

The third proportional to 2,102,376 and 4,611,696 is: 10,116,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,376 : 4,611,696 = 4,611,696 : x
  2. Step 2: Convert to fraction form
    2,102,376/4,611,696 = 4,611,696/x
  3. Step 3: Cross multiply
    2,102,376x = 4,611,696 × 4,611,696
  4. Step 4: Simplify right side
    2,102,376x = 21,267,739,996,416
  5. Step 5: Solve for x
    x = 21,267,739,996,416/2,102,376
  6. Step 6: Final answer
    x = 10,116,049.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.