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Finding the Third Proportional to 803,924 and 1,279,686

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Solution

The third proportional to 803,924 and 1,279,686 is: 2,037,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,924 : 1,279,686 = 1,279,686 : x
  2. Step 2: Convert to fraction form
    803,924/1,279,686 = 1,279,686/x
  3. Step 3: Cross multiply
    803,924x = 1,279,686 × 1,279,686
  4. Step 4: Simplify right side
    803,924x = 1,637,596,258,596
  5. Step 5: Solve for x
    x = 1,637,596,258,596/803,924
  6. Step 6: Final answer
    x = 2,037,003.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.