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Finding the Third Proportional to 404,680 and 886,450

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Solution

The third proportional to 404,680 and 886,450 is: 1,941,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,680 : 886,450 = 886,450 : x
  2. Step 2: Convert to fraction form
    404,680/886,450 = 886,450/x
  3. Step 3: Cross multiply
    404,680x = 886,450 × 886,450
  4. Step 4: Simplify right side
    404,680x = 785,793,602,500
  5. Step 5: Solve for x
    x = 785,793,602,500/404,680
  6. Step 6: Final answer
    x = 1,941,765.35

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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.