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Finding the Third Proportional to 759,576 and 1,180,844

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Solution

The third proportional to 759,576 and 1,180,844 is: 1,835,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,576 : 1,180,844 = 1,180,844 : x
  2. Step 2: Convert to fraction form
    759,576/1,180,844 = 1,180,844/x
  3. Step 3: Cross multiply
    759,576x = 1,180,844 × 1,180,844
  4. Step 4: Simplify right side
    759,576x = 1,394,392,552,336
  5. Step 5: Solve for x
    x = 1,394,392,552,336/759,576
  6. Step 6: Final answer
    x = 1,835,751.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.