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Finding the Third Proportional to 2,411,291.25 and 5,201,172

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Solution

The third proportional to 2,411,291.25 and 5,201,172 is: 11,218,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,291.25 : 5,201,172 = 5,201,172 : x
  2. Step 2: Convert to fraction form
    2,411,291.25/5,201,172 = 5,201,172/x
  3. Step 3: Cross multiply
    2,411,291.25x = 5,201,172 × 5,201,172
  4. Step 4: Simplify right side
    2,411,291.25x = 27,052,190,173,584
  5. Step 5: Solve for x
    x = 27,052,190,173,584/2,411,291.25
  6. Step 6: Final answer
    x = 11,218,964.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.