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Finding the Third Proportional to 547,842 and 1,138,692

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Solution

The third proportional to 547,842 and 1,138,692 is: 2,366,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,842 : 1,138,692 = 1,138,692 : x
  2. Step 2: Convert to fraction form
    547,842/1,138,692 = 1,138,692/x
  3. Step 3: Cross multiply
    547,842x = 1,138,692 × 1,138,692
  4. Step 4: Simplify right side
    547,842x = 1,296,619,470,864
  5. Step 5: Solve for x
    x = 1,296,619,470,864/547,842
  6. Step 6: Final answer
    x = 2,366,776.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.