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Finding the Third Proportional to 579,411 and 1,211,769

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Solution

The third proportional to 579,411 and 1,211,769 is: 2,534,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,411 : 1,211,769 = 1,211,769 : x
  2. Step 2: Convert to fraction form
    579,411/1,211,769 = 1,211,769/x
  3. Step 3: Cross multiply
    579,411x = 1,211,769 × 1,211,769
  4. Step 4: Simplify right side
    579,411x = 1,468,384,109,361
  5. Step 5: Solve for x
    x = 1,468,384,109,361/579,411
  6. Step 6: Final answer
    x = 2,534,270.34

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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.