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Finding the Third Proportional to 734,008 and 1,612,357

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Solution

The third proportional to 734,008 and 1,612,357 is: 3,541,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,008 : 1,612,357 = 1,612,357 : x
  2. Step 2: Convert to fraction form
    734,008/1,612,357 = 1,612,357/x
  3. Step 3: Cross multiply
    734,008x = 1,612,357 × 1,612,357
  4. Step 4: Simplify right side
    734,008x = 2,599,695,095,449
  5. Step 5: Solve for x
    x = 2,599,695,095,449/734,008
  6. Step 6: Final answer
    x = 3,541,780.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.