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Finding the Third Proportional to 920,632 and 1,969,192

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Solution

The third proportional to 920,632 and 1,969,192 is: 4,212,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,632 : 1,969,192 = 1,969,192 : x
  2. Step 2: Convert to fraction form
    920,632/1,969,192 = 1,969,192/x
  3. Step 3: Cross multiply
    920,632x = 1,969,192 × 1,969,192
  4. Step 4: Simplify right side
    920,632x = 3,877,717,132,864
  5. Step 5: Solve for x
    x = 3,877,717,132,864/920,632
  6. Step 6: Final answer
    x = 4,212,016.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.