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Finding the Third Proportional to 431,744 and 916,100

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Solution

The third proportional to 431,744 and 916,100 is: 1,943,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,744 : 916,100 = 916,100 : x
  2. Step 2: Convert to fraction form
    431,744/916,100 = 916,100/x
  3. Step 3: Cross multiply
    431,744x = 916,100 × 916,100
  4. Step 4: Simplify right side
    431,744x = 839,239,210,000
  5. Step 5: Solve for x
    x = 839,239,210,000/431,744
  6. Step 6: Final answer
    x = 1,943,835.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.