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Finding the Third Proportional to 3,001,201.88 and 4,654,143.56

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Solution

The third proportional to 3,001,201.88 and 4,654,143.56 is: 7,217,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001,201.88 : 4,654,143.56 = 4,654,143.56 : x
  2. Step 2: Convert to fraction form
    3,001,201.88/4,654,143.56 = 4,654,143.56/x
  3. Step 3: Cross multiply
    3,001,201.88x = 4,654,143.56 × 4,654,143.56
  4. Step 4: Simplify right side
    3,001,201.88x = 21,661,052,300,360.19
  5. Step 5: Solve for x
    x = 21,661,052,300,360.19/3,001,201.88
  6. Step 6: Final answer
    x = 7,217,459.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.