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Finding the Third Proportional to 532,874 and 1,115,012

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Solution

The third proportional to 532,874 and 1,115,012 is: 2,333,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,874 : 1,115,012 = 1,115,012 : x
  2. Step 2: Convert to fraction form
    532,874/1,115,012 = 1,115,012/x
  3. Step 3: Cross multiply
    532,874x = 1,115,012 × 1,115,012
  4. Step 4: Simplify right side
    532,874x = 1,243,251,760,144
  5. Step 5: Solve for x
    x = 1,243,251,760,144/532,874
  6. Step 6: Final answer
    x = 2,333,106.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.