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Finding the Third Proportional to 646,112 and 1,509,200

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Solution

The third proportional to 646,112 and 1,509,200 is: 3,525,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,112 : 1,509,200 = 1,509,200 : x
  2. Step 2: Convert to fraction form
    646,112/1,509,200 = 1,509,200/x
  3. Step 3: Cross multiply
    646,112x = 1,509,200 × 1,509,200
  4. Step 4: Simplify right side
    646,112x = 2,277,684,640,000
  5. Step 5: Solve for x
    x = 2,277,684,640,000/646,112
  6. Step 6: Final answer
    x = 3,525,216.43

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.