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Finding the Third Proportional to 543,983 and 1,279,582

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Solution

The third proportional to 543,983 and 1,279,582 is: 3,009,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,983 : 1,279,582 = 1,279,582 : x
  2. Step 2: Convert to fraction form
    543,983/1,279,582 = 1,279,582/x
  3. Step 3: Cross multiply
    543,983x = 1,279,582 × 1,279,582
  4. Step 4: Simplify right side
    543,983x = 1,637,330,094,724
  5. Step 5: Solve for x
    x = 1,637,330,094,724/543,983
  6. Step 6: Final answer
    x = 3,009,892.03

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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.