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Finding the Third Proportional to 1,678,396 and 2,531,529

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Solution

The third proportional to 1,678,396 and 2,531,529 is: 3,818,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,396 : 2,531,529 = 2,531,529 : x
  2. Step 2: Convert to fraction form
    1,678,396/2,531,529 = 2,531,529/x
  3. Step 3: Cross multiply
    1,678,396x = 2,531,529 × 2,531,529
  4. Step 4: Simplify right side
    1,678,396x = 6,408,639,077,841
  5. Step 5: Solve for x
    x = 6,408,639,077,841/1,678,396
  6. Step 6: Final answer
    x = 3,818,311.70

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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.