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Finding the Third Proportional to 460,269 and 952,491

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Solution

The third proportional to 460,269 and 952,491 is: 1,971,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,269 : 952,491 = 952,491 : x
  2. Step 2: Convert to fraction form
    460,269/952,491 = 952,491/x
  3. Step 3: Cross multiply
    460,269x = 952,491 × 952,491
  4. Step 4: Simplify right side
    460,269x = 907,239,105,081
  5. Step 5: Solve for x
    x = 907,239,105,081/460,269
  6. Step 6: Final answer
    x = 1,971,106.26

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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.