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Finding the Third Proportional to 650,936.25 and 1,407,152.25

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Solution

The third proportional to 650,936.25 and 1,407,152.25 is: 3,041,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,936.25 : 1,407,152.25 = 1,407,152.25 : x
  2. Step 2: Convert to fraction form
    650,936.25/1,407,152.25 = 1,407,152.25/x
  3. Step 3: Cross multiply
    650,936.25x = 1,407,152.25 × 1,407,152.25
  4. Step 4: Simplify right side
    650,936.25x = 1,980,077,454,680.06
  5. Step 5: Solve for x
    x = 1,980,077,454,680.06/650,936.25
  6. Step 6: Final answer
    x = 3,041,891.51

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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.