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Finding the Third Proportional to 457,954 and 997,360

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Solution

The third proportional to 457,954 and 997,360 is: 2,172,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,954 : 997,360 = 997,360 : x
  2. Step 2: Convert to fraction form
    457,954/997,360 = 997,360/x
  3. Step 3: Cross multiply
    457,954x = 997,360 × 997,360
  4. Step 4: Simplify right side
    457,954x = 994,726,969,600
  5. Step 5: Solve for x
    x = 994,726,969,600/457,954
  6. Step 6: Final answer
    x = 2,172,111.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.