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Finding the Third Proportional to 1,106,524.50 and 1,667,541

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Solution

The third proportional to 1,106,524.50 and 1,667,541 is: 2,512,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,524.50 : 1,667,541 = 1,667,541 : x
  2. Step 2: Convert to fraction form
    1,106,524.50/1,667,541 = 1,667,541/x
  3. Step 3: Cross multiply
    1,106,524.50x = 1,667,541 × 1,667,541
  4. Step 4: Simplify right side
    1,106,524.50x = 2,780,692,986,681
  5. Step 5: Solve for x
    x = 2,780,692,986,681/1,106,524.50
  6. Step 6: Final answer
    x = 2,512,997.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.