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Finding the Third Proportional to 460,190 and 1,008,940

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Solution

The third proportional to 460,190 and 1,008,940 is: 2,212,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,190 : 1,008,940 = 1,008,940 : x
  2. Step 2: Convert to fraction form
    460,190/1,008,940 = 1,008,940/x
  3. Step 3: Cross multiply
    460,190x = 1,008,940 × 1,008,940
  4. Step 4: Simplify right side
    460,190x = 1,017,959,923,600
  5. Step 5: Solve for x
    x = 1,017,959,923,600/460,190
  6. Step 6: Final answer
    x = 2,212,042.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.