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Finding the Third Proportional to 460,176 and 985,920

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Solution

The third proportional to 460,176 and 985,920 is: 2,112,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,176 : 985,920 = 985,920 : x
  2. Step 2: Convert to fraction form
    460,176/985,920 = 985,920/x
  3. Step 3: Cross multiply
    460,176x = 985,920 × 985,920
  4. Step 4: Simplify right side
    460,176x = 972,038,246,400
  5. Step 5: Solve for x
    x = 972,038,246,400/460,176
  6. Step 6: Final answer
    x = 2,112,318.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.