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Finding the Third Proportional to 1,715,400 and 3,666,876

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Solution

The third proportional to 1,715,400 and 3,666,876 is: 7,838,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715,400 : 3,666,876 = 3,666,876 : x
  2. Step 2: Convert to fraction form
    1,715,400/3,666,876 = 3,666,876/x
  3. Step 3: Cross multiply
    1,715,400x = 3,666,876 × 3,666,876
  4. Step 4: Simplify right side
    1,715,400x = 13,445,979,599,376
  5. Step 5: Solve for x
    x = 13,445,979,599,376/1,715,400
  6. Step 6: Final answer
    x = 7,838,393.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.