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Finding the Third Proportional to 454,131 and 1,070,513

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Solution

The third proportional to 454,131 and 1,070,513 is: 2,523,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,131 : 1,070,513 = 1,070,513 : x
  2. Step 2: Convert to fraction form
    454,131/1,070,513 = 1,070,513/x
  3. Step 3: Cross multiply
    454,131x = 1,070,513 × 1,070,513
  4. Step 4: Simplify right side
    454,131x = 1,145,998,083,169
  5. Step 5: Solve for x
    x = 1,145,998,083,169/454,131
  6. Step 6: Final answer
    x = 2,523,496.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.