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Finding the Third Proportional to 460,070 and 994,012

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Solution

The third proportional to 460,070 and 994,012 is: 2,147,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,070 : 994,012 = 994,012 : x
  2. Step 2: Convert to fraction form
    460,070/994,012 = 994,012/x
  3. Step 3: Cross multiply
    460,070x = 994,012 × 994,012
  4. Step 4: Simplify right side
    460,070x = 988,059,856,144
  5. Step 5: Solve for x
    x = 988,059,856,144/460,070
  6. Step 6: Final answer
    x = 2,147,629.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.