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Finding the Third Proportional to 770,264 and 1,662,324

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Solution

The third proportional to 770,264 and 1,662,324 is: 3,587,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,264 : 1,662,324 = 1,662,324 : x
  2. Step 2: Convert to fraction form
    770,264/1,662,324 = 1,662,324/x
  3. Step 3: Cross multiply
    770,264x = 1,662,324 × 1,662,324
  4. Step 4: Simplify right side
    770,264x = 2,763,321,080,976
  5. Step 5: Solve for x
    x = 2,763,321,080,976/770,264
  6. Step 6: Final answer
    x = 3,587,498.68

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