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Finding the Third Proportional to 543,984 and 1,279,586

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Solution

The third proportional to 543,984 and 1,279,586 is: 3,009,905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,984 : 1,279,586 = 1,279,586 : x
  2. Step 2: Convert to fraction form
    543,984/1,279,586 = 1,279,586/x
  3. Step 3: Cross multiply
    543,984x = 1,279,586 × 1,279,586
  4. Step 4: Simplify right side
    543,984x = 1,637,340,331,396
  5. Step 5: Solve for x
    x = 1,637,340,331,396/543,984
  6. Step 6: Final answer
    x = 3,009,905.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.