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Finding the Third Proportional to 752,064 and 1,641,324

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Solution

The third proportional to 752,064 and 1,641,324 is: 3,582,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,064 : 1,641,324 = 1,641,324 : x
  2. Step 2: Convert to fraction form
    752,064/1,641,324 = 1,641,324/x
  3. Step 3: Cross multiply
    752,064x = 1,641,324 × 1,641,324
  4. Step 4: Simplify right side
    752,064x = 2,693,944,472,976
  5. Step 5: Solve for x
    x = 2,693,944,472,976/752,064
  6. Step 6: Final answer
    x = 3,582,068.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.