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Finding the Third Proportional to 589,048 and 1,272,091

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Solution

The third proportional to 589,048 and 1,272,091 is: 2,747,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,048 : 1,272,091 = 1,272,091 : x
  2. Step 2: Convert to fraction form
    589,048/1,272,091 = 1,272,091/x
  3. Step 3: Cross multiply
    589,048x = 1,272,091 × 1,272,091
  4. Step 4: Simplify right side
    589,048x = 1,618,215,512,281
  5. Step 5: Solve for x
    x = 1,618,215,512,281/589,048
  6. Step 6: Final answer
    x = 2,747,170.88

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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.