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Finding the Third Proportional to 738,972 and 1,593,256

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Solution

The third proportional to 738,972 and 1,593,256 is: 3,435,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,972 : 1,593,256 = 1,593,256 : x
  2. Step 2: Convert to fraction form
    738,972/1,593,256 = 1,593,256/x
  3. Step 3: Cross multiply
    738,972x = 1,593,256 × 1,593,256
  4. Step 4: Simplify right side
    738,972x = 2,538,464,681,536
  5. Step 5: Solve for x
    x = 2,538,464,681,536/738,972
  6. Step 6: Final answer
    x = 3,435,129.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.