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Finding the Third Proportional to 2,159,571 and 4,999,543

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Solution

The third proportional to 2,159,571 and 4,999,543 is: 11,574,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,571 : 4,999,543 = 4,999,543 : x
  2. Step 2: Convert to fraction form
    2,159,571/4,999,543 = 4,999,543/x
  3. Step 3: Cross multiply
    2,159,571x = 4,999,543 × 4,999,543
  4. Step 4: Simplify right side
    2,159,571x = 24,995,430,208,849
  5. Step 5: Solve for x
    x = 24,995,430,208,849/2,159,571
  6. Step 6: Final answer
    x = 11,574,257.21

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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.