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Finding the Third Proportional to 2,182,866.47 and 4,591,956.45

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Solution

The third proportional to 2,182,866.47 and 4,591,956.45 is: 9,659,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,866.47 : 4,591,956.45 = 4,591,956.45 : x
  2. Step 2: Convert to fraction form
    2,182,866.47/4,591,956.45 = 4,591,956.45/x
  3. Step 3: Cross multiply
    2,182,866.47x = 4,591,956.45 × 4,591,956.45
  4. Step 4: Simplify right side
    2,182,866.47x = 21,086,063,995,647.01
  5. Step 5: Solve for x
    x = 21,086,063,995,647.01/2,182,866.47
  6. Step 6: Final answer
    x = 9,659,804.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.