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Finding the Third Proportional to 579,044 and 1,257,208

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Solution

The third proportional to 579,044 and 1,257,208 is: 2,729,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,044 : 1,257,208 = 1,257,208 : x
  2. Step 2: Convert to fraction form
    579,044/1,257,208 = 1,257,208/x
  3. Step 3: Cross multiply
    579,044x = 1,257,208 × 1,257,208
  4. Step 4: Simplify right side
    579,044x = 1,580,571,955,264
  5. Step 5: Solve for x
    x = 1,580,571,955,264/579,044
  6. Step 6: Final answer
    x = 2,729,623.23

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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.