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Finding the Third Proportional to 2,367,232 and 5,177,431

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Solution

The third proportional to 2,367,232 and 5,177,431 is: 11,323,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,232 : 5,177,431 = 5,177,431 : x
  2. Step 2: Convert to fraction form
    2,367,232/5,177,431 = 5,177,431/x
  3. Step 3: Cross multiply
    2,367,232x = 5,177,431 × 5,177,431
  4. Step 4: Simplify right side
    2,367,232x = 26,805,791,759,761
  5. Step 5: Solve for x
    x = 26,805,791,759,761/2,367,232
  6. Step 6: Final answer
    x = 11,323,685.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.