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Finding the Third Proportional to 2,232,924.75 and 4,843,928.25

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Solution

The third proportional to 2,232,924.75 and 4,843,928.25 is: 10,508,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232,924.75 : 4,843,928.25 = 4,843,928.25 : x
  2. Step 2: Convert to fraction form
    2,232,924.75/4,843,928.25 = 4,843,928.25/x
  3. Step 3: Cross multiply
    2,232,924.75x = 4,843,928.25 × 4,843,928.25
  4. Step 4: Simplify right side
    2,232,924.75x = 23,463,640,891,148.06
  5. Step 5: Solve for x
    x = 23,463,640,891,148.06/2,232,924.75
  6. Step 6: Final answer
    x = 10,508,030.28

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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.