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Finding the Third Proportional to 425,265 and 925,248

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Solution

The third proportional to 425,265 and 925,248 is: 2,013,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,265 : 925,248 = 925,248 : x
  2. Step 2: Convert to fraction form
    425,265/925,248 = 925,248/x
  3. Step 3: Cross multiply
    425,265x = 925,248 × 925,248
  4. Step 4: Simplify right side
    425,265x = 856,083,861,504
  5. Step 5: Solve for x
    x = 856,083,861,504/425,265
  6. Step 6: Final answer
    x = 2,013,059.77

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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.