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Finding the Third Proportional to 1,191,842 and 2,606,497

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Solution

The third proportional to 1,191,842 and 2,606,497 is: 5,700,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,842 : 2,606,497 = 2,606,497 : x
  2. Step 2: Convert to fraction form
    1,191,842/2,606,497 = 2,606,497/x
  3. Step 3: Cross multiply
    1,191,842x = 2,606,497 × 2,606,497
  4. Step 4: Simplify right side
    1,191,842x = 6,793,826,611,009
  5. Step 5: Solve for x
    x = 6,793,826,611,009/1,191,842
  6. Step 6: Final answer
    x = 5,700,274.54

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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.