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Finding the Third Proportional to 1,689,984 and 3,757,836

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Solution

The third proportional to 1,689,984 and 3,757,836 is: 8,355,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,984 : 3,757,836 = 3,757,836 : x
  2. Step 2: Convert to fraction form
    1,689,984/3,757,836 = 3,757,836/x
  3. Step 3: Cross multiply
    1,689,984x = 3,757,836 × 3,757,836
  4. Step 4: Simplify right side
    1,689,984x = 14,121,331,402,896
  5. Step 5: Solve for x
    x = 14,121,331,402,896/1,689,984
  6. Step 6: Final answer
    x = 8,355,896.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.