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Finding the Third Proportional to 841,129.73 and 1,845,103.64

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Solution

The third proportional to 841,129.73 and 1,845,103.64 is: 4,047,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,129.73 : 1,845,103.64 = 1,845,103.64 : x
  2. Step 2: Convert to fraction form
    841,129.73/1,845,103.64 = 1,845,103.64/x
  3. Step 3: Cross multiply
    841,129.73x = 1,845,103.64 × 1,845,103.64
  4. Step 4: Simplify right side
    841,129.73x = 3,404,407,444,647.63
  5. Step 5: Solve for x
    x = 3,404,407,444,647.63/841,129.73
  6. Step 6: Final answer
    x = 4,047,422.54

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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.