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Finding the Third Proportional to 2,256,047.44 and 4,871,618.44

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Solution

The third proportional to 2,256,047.44 and 4,871,618.44 is: 10,519,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256,047.44 : 4,871,618.44 = 4,871,618.44 : x
  2. Step 2: Convert to fraction form
    2,256,047.44/4,871,618.44 = 4,871,618.44/x
  3. Step 3: Cross multiply
    2,256,047.44x = 4,871,618.44 × 4,871,618.44
  4. Step 4: Simplify right side
    2,256,047.44x = 23,732,666,200,589.94
  5. Step 5: Solve for x
    x = 23,732,666,200,589.94/2,256,047.44
  6. Step 6: Final answer
    x = 10,519,577.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.