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Finding the Third Proportional to 575,328 and 1,251,042

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Solution

The third proportional to 575,328 and 1,251,042 is: 2,720,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,328 : 1,251,042 = 1,251,042 : x
  2. Step 2: Convert to fraction form
    575,328/1,251,042 = 1,251,042/x
  3. Step 3: Cross multiply
    575,328x = 1,251,042 × 1,251,042
  4. Step 4: Simplify right side
    575,328x = 1,565,106,085,764
  5. Step 5: Solve for x
    x = 1,565,106,085,764/575,328
  6. Step 6: Final answer
    x = 2,720,371.83

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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.