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Finding the Third Proportional to 946,886 and 1,279,721

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Solution

The third proportional to 946,886 and 1,279,721 is: 1,729,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,886 : 1,279,721 = 1,279,721 : x
  2. Step 2: Convert to fraction form
    946,886/1,279,721 = 1,279,721/x
  3. Step 3: Cross multiply
    946,886x = 1,279,721 × 1,279,721
  4. Step 4: Simplify right side
    946,886x = 1,637,685,837,841
  5. Step 5: Solve for x
    x = 1,637,685,837,841/946,886
  6. Step 6: Final answer
    x = 1,729,549.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.