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Finding the Third Proportional to 618,150 and 1,303,827

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Solution

The third proportional to 618,150 and 1,303,827 is: 2,750,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,150 : 1,303,827 = 1,303,827 : x
  2. Step 2: Convert to fraction form
    618,150/1,303,827 = 1,303,827/x
  3. Step 3: Cross multiply
    618,150x = 1,303,827 × 1,303,827
  4. Step 4: Simplify right side
    618,150x = 1,699,964,845,929
  5. Step 5: Solve for x
    x = 1,699,964,845,929/618,150
  6. Step 6: Final answer
    x = 2,750,084.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.