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Finding the Third Proportional to 733,788 and 1,593,297

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Solution

The third proportional to 733,788 and 1,593,297 is: 3,459,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,788 : 1,593,297 = 1,593,297 : x
  2. Step 2: Convert to fraction form
    733,788/1,593,297 = 1,593,297/x
  3. Step 3: Cross multiply
    733,788x = 1,593,297 × 1,593,297
  4. Step 4: Simplify right side
    733,788x = 2,538,595,330,209
  5. Step 5: Solve for x
    x = 2,538,595,330,209/733,788
  6. Step 6: Final answer
    x = 3,459,575.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.