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Finding the Third Proportional to 2,092,375 and 4,435,877

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Solution

The third proportional to 2,092,375 and 4,435,877 is: 9,404,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,375 : 4,435,877 = 4,435,877 : x
  2. Step 2: Convert to fraction form
    2,092,375/4,435,877 = 4,435,877/x
  3. Step 3: Cross multiply
    2,092,375x = 4,435,877 × 4,435,877
  4. Step 4: Simplify right side
    2,092,375x = 19,677,004,759,129
  5. Step 5: Solve for x
    x = 19,677,004,759,129/2,092,375
  6. Step 6: Final answer
    x = 9,404,148.28

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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.