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Finding the Third Proportional to 1,667,274.75 and 2,583,280.13

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Solution

The third proportional to 1,667,274.75 and 2,583,280.13 is: 4,002,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667,274.75 : 2,583,280.13 = 2,583,280.13 : x
  2. Step 2: Convert to fraction form
    1,667,274.75/2,583,280.13 = 2,583,280.13/x
  3. Step 3: Cross multiply
    1,667,274.75x = 2,583,280.13 × 2,583,280.13
  4. Step 4: Simplify right side
    1,667,274.75x = 6,673,336,204,220.02
  5. Step 5: Solve for x
    x = 6,673,336,204,220.02/1,667,274.75
  6. Step 6: Final answer
    x = 4,002,541.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.