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Finding the Third Proportional to 1,823,507.44 and 3,968,098.88

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Solution

The third proportional to 1,823,507.44 and 3,968,098.88 is: 8,634,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,507.44 : 3,968,098.88 = 3,968,098.88 : x
  2. Step 2: Convert to fraction form
    1,823,507.44/3,968,098.88 = 3,968,098.88/x
  3. Step 3: Cross multiply
    1,823,507.44x = 3,968,098.88 × 3,968,098.88
  4. Step 4: Simplify right side
    1,823,507.44x = 15,745,808,681,776.27
  5. Step 5: Solve for x
    x = 15,745,808,681,776.27/1,823,507.44
  6. Step 6: Final answer
    x = 8,634,902.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.