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Finding the Third Proportional to 460,096 and 938,972

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Solution

The third proportional to 460,096 and 938,972 is: 1,916,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,096 : 938,972 = 938,972 : x
  2. Step 2: Convert to fraction form
    460,096/938,972 = 938,972/x
  3. Step 3: Cross multiply
    460,096x = 938,972 × 938,972
  4. Step 4: Simplify right side
    460,096x = 881,668,416,784
  5. Step 5: Solve for x
    x = 881,668,416,784/460,096
  6. Step 6: Final answer
    x = 1,916,270.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.