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Finding the Third Proportional to 1,327,617.84 and 2,050,069.50

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Solution

The third proportional to 1,327,617.84 and 2,050,069.50 is: 3,165,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,617.84 : 2,050,069.50 = 2,050,069.50 : x
  2. Step 2: Convert to fraction form
    1,327,617.84/2,050,069.50 = 2,050,069.50/x
  3. Step 3: Cross multiply
    1,327,617.84x = 2,050,069.50 × 2,050,069.50
  4. Step 4: Simplify right side
    1,327,617.84x = 4,202,784,954,830.25
  5. Step 5: Solve for x
    x = 4,202,784,954,830.25/1,327,617.84
  6. Step 6: Final answer
    x = 3,165,658.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.