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Finding the Third Proportional to 2,374,064 and 4,832,029

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Solution

The third proportional to 2,374,064 and 4,832,029 is: 9,834,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374,064 : 4,832,029 = 4,832,029 : x
  2. Step 2: Convert to fraction form
    2,374,064/4,832,029 = 4,832,029/x
  3. Step 3: Cross multiply
    2,374,064x = 4,832,029 × 4,832,029
  4. Step 4: Simplify right side
    2,374,064x = 23,348,504,256,841
  5. Step 5: Solve for x
    x = 23,348,504,256,841/2,374,064
  6. Step 6: Final answer
    x = 9,834,825.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.