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Finding the Third Proportional to 853,654.78 and 1,829,004.05

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Solution

The third proportional to 853,654.78 and 1,829,004.05 is: 3,918,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,654.78 : 1,829,004.05 = 1,829,004.05 : x
  2. Step 2: Convert to fraction form
    853,654.78/1,829,004.05 = 1,829,004.05/x
  3. Step 3: Cross multiply
    853,654.78x = 1,829,004.05 × 1,829,004.05
  4. Step 4: Simplify right side
    853,654.78x = 3,345,255,803,485.13
  5. Step 5: Solve for x
    x = 3,345,255,803,485.13/853,654.78
  6. Step 6: Final answer
    x = 3,918,745.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.