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Finding the Third Proportional to 1,327,128 and 2,902,629

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Solution

The third proportional to 1,327,128 and 2,902,629 is: 6,348,487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,128 : 2,902,629 = 2,902,629 : x
  2. Step 2: Convert to fraction form
    1,327,128/2,902,629 = 2,902,629/x
  3. Step 3: Cross multiply
    1,327,128x = 2,902,629 × 2,902,629
  4. Step 4: Simplify right side
    1,327,128x = 8,425,255,111,641
  5. Step 5: Solve for x
    x = 8,425,255,111,641/1,327,128
  6. Step 6: Final answer
    x = 6,348,487.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.