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Finding the Third Proportional to 2,159,562 and 4,999,519

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Solution

The third proportional to 2,159,562 and 4,999,519 is: 11,574,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,562 : 4,999,519 = 4,999,519 : x
  2. Step 2: Convert to fraction form
    2,159,562/4,999,519 = 4,999,519/x
  3. Step 3: Cross multiply
    2,159,562x = 4,999,519 × 4,999,519
  4. Step 4: Simplify right side
    2,159,562x = 24,995,190,231,361
  5. Step 5: Solve for x
    x = 24,995,190,231,361/2,159,562
  6. Step 6: Final answer
    x = 11,574,194.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.