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Finding the Third Proportional to 2,482,572 and 3,796,002

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Solution

The third proportional to 2,482,572 and 3,796,002 is: 5,804,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482,572 : 3,796,002 = 3,796,002 : x
  2. Step 2: Convert to fraction form
    2,482,572/3,796,002 = 3,796,002/x
  3. Step 3: Cross multiply
    2,482,572x = 3,796,002 × 3,796,002
  4. Step 4: Simplify right side
    2,482,572x = 14,409,631,184,004
  5. Step 5: Solve for x
    x = 14,409,631,184,004/2,482,572
  6. Step 6: Final answer
    x = 5,804,315.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.