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Finding the Third Proportional to 759,865 and 1,645,824

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Solution

The third proportional to 759,865 and 1,645,824 is: 3,564,760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,865 : 1,645,824 = 1,645,824 : x
  2. Step 2: Convert to fraction form
    759,865/1,645,824 = 1,645,824/x
  3. Step 3: Cross multiply
    759,865x = 1,645,824 × 1,645,824
  4. Step 4: Simplify right side
    759,865x = 2,708,736,638,976
  5. Step 5: Solve for x
    x = 2,708,736,638,976/759,865
  6. Step 6: Final answer
    x = 3,564,760.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.