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Finding the Third Proportional to 759,648 and 1,641,120

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Solution

The third proportional to 759,648 and 1,641,120 is: 3,545,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,648 : 1,641,120 = 1,641,120 : x
  2. Step 2: Convert to fraction form
    759,648/1,641,120 = 1,641,120/x
  3. Step 3: Cross multiply
    759,648x = 1,641,120 × 1,641,120
  4. Step 4: Simplify right side
    759,648x = 2,693,274,854,400
  5. Step 5: Solve for x
    x = 2,693,274,854,400/759,648
  6. Step 6: Final answer
    x = 3,545,424.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.