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Finding the Third Proportional to 1,635,824 and 2,716,865

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Solution

The third proportional to 1,635,824 and 2,716,865 is: 4,512,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,824 : 2,716,865 = 2,716,865 : x
  2. Step 2: Convert to fraction form
    1,635,824/2,716,865 = 2,716,865/x
  3. Step 3: Cross multiply
    1,635,824x = 2,716,865 × 2,716,865
  4. Step 4: Simplify right side
    1,635,824x = 7,381,355,428,225
  5. Step 5: Solve for x
    x = 7,381,355,428,225/1,635,824
  6. Step 6: Final answer
    x = 4,512,316.38

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.