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Finding the Third Proportional to 803,880 and 1,279,623

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Solution

The third proportional to 803,880 and 1,279,623 is: 2,036,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,880 : 1,279,623 = 1,279,623 : x
  2. Step 2: Convert to fraction form
    803,880/1,279,623 = 1,279,623/x
  3. Step 3: Cross multiply
    803,880x = 1,279,623 × 1,279,623
  4. Step 4: Simplify right side
    803,880x = 1,637,435,022,129
  5. Step 5: Solve for x
    x = 1,637,435,022,129/803,880
  6. Step 6: Final answer
    x = 2,036,914.74

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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.