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Finding the Third Proportional to 460,262 and 952,477

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Solution

The third proportional to 460,262 and 952,477 is: 1,971,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,262 : 952,477 = 952,477 : x
  2. Step 2: Convert to fraction form
    460,262/952,477 = 952,477/x
  3. Step 3: Cross multiply
    460,262x = 952,477 × 952,477
  4. Step 4: Simplify right side
    460,262x = 907,212,435,529
  5. Step 5: Solve for x
    x = 907,212,435,529/460,262
  6. Step 6: Final answer
    x = 1,971,078.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.