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Finding the Third Proportional to 2,482,575 and 3,796,006.50

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Solution

The third proportional to 2,482,575 and 3,796,006.50 is: 5,804,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482,575 : 3,796,006.50 = 3,796,006.50 : x
  2. Step 2: Convert to fraction form
    2,482,575/3,796,006.50 = 3,796,006.50/x
  3. Step 3: Cross multiply
    2,482,575x = 3,796,006.50 × 3,796,006.50
  4. Step 4: Simplify right side
    2,482,575x = 14,409,665,348,042.25
  5. Step 5: Solve for x
    x = 14,409,665,348,042.25/2,482,575
  6. Step 6: Final answer
    x = 5,804,322.27

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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.