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Finding the Third Proportional to 460,858 and 958,502

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Solution

The third proportional to 460,858 and 958,502 is: 1,993,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,858 : 958,502 = 958,502 : x
  2. Step 2: Convert to fraction form
    460,858/958,502 = 958,502/x
  3. Step 3: Cross multiply
    460,858x = 958,502 × 958,502
  4. Step 4: Simplify right side
    460,858x = 918,726,084,004
  5. Step 5: Solve for x
    x = 918,726,084,004/460,858
  6. Step 6: Final answer
    x = 1,993,512.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.