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Finding the Third Proportional to 2,179,873.13 and 4,692,899.25

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Solution

The third proportional to 2,179,873.13 and 4,692,899.25 is: 10,103,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179,873.13 : 4,692,899.25 = 4,692,899.25 : x
  2. Step 2: Convert to fraction form
    2,179,873.13/4,692,899.25 = 4,692,899.25/x
  3. Step 3: Cross multiply
    2,179,873.13x = 4,692,899.25 × 4,692,899.25
  4. Step 4: Simplify right side
    2,179,873.13x = 22,023,303,370,650.56
  5. Step 5: Solve for x
    x = 22,023,303,370,650.56/2,179,873.13
  6. Step 6: Final answer
    x = 10,103,020.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.