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Finding the Third Proportional to 460,252 and 952,460

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Solution

The third proportional to 460,252 and 952,460 is: 1,971,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,252 : 952,460 = 952,460 : x
  2. Step 2: Convert to fraction form
    460,252/952,460 = 952,460/x
  3. Step 3: Cross multiply
    460,252x = 952,460 × 952,460
  4. Step 4: Simplify right side
    460,252x = 907,180,051,600
  5. Step 5: Solve for x
    x = 907,180,051,600/460,252
  6. Step 6: Final answer
    x = 1,971,050.75

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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.