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Finding the Third Proportional to 2,290,512 and 5,174,904

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Solution

The third proportional to 2,290,512 and 5,174,904 is: 11,691,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290,512 : 5,174,904 = 5,174,904 : x
  2. Step 2: Convert to fraction form
    2,290,512/5,174,904 = 5,174,904/x
  3. Step 3: Cross multiply
    2,290,512x = 5,174,904 × 5,174,904
  4. Step 4: Simplify right side
    2,290,512x = 26,779,631,409,216
  5. Step 5: Solve for x
    x = 26,779,631,409,216/2,290,512
  6. Step 6: Final answer
    x = 11,691,548.18

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.