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Finding the Third Proportional to 620,460 and 948,735

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Solution

The third proportional to 620,460 and 948,735 is: 1,450,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,460 : 948,735 = 948,735 : x
  2. Step 2: Convert to fraction form
    620,460/948,735 = 948,735/x
  3. Step 3: Cross multiply
    620,460x = 948,735 × 948,735
  4. Step 4: Simplify right side
    620,460x = 900,098,100,225
  5. Step 5: Solve for x
    x = 900,098,100,225/620,460
  6. Step 6: Final answer
    x = 1,450,694.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.