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Finding the Third Proportional to 2,092,458 and 2,961,641

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Solution

The third proportional to 2,092,458 and 2,961,641 is: 4,191,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,458 : 2,961,641 = 2,961,641 : x
  2. Step 2: Convert to fraction form
    2,092,458/2,961,641 = 2,961,641/x
  3. Step 3: Cross multiply
    2,092,458x = 2,961,641 × 2,961,641
  4. Step 4: Simplify right side
    2,092,458x = 8,771,317,412,881
  5. Step 5: Solve for x
    x = 8,771,317,412,881/2,092,458
  6. Step 6: Final answer
    x = 4,191,872.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.