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Finding the Third Proportional to 658,656 and 946,512

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Solution

The third proportional to 658,656 and 946,512 is: 1,360,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,656 : 946,512 = 946,512 : x
  2. Step 2: Convert to fraction form
    658,656/946,512 = 946,512/x
  3. Step 3: Cross multiply
    658,656x = 946,512 × 946,512
  4. Step 4: Simplify right side
    658,656x = 895,884,966,144
  5. Step 5: Solve for x
    x = 895,884,966,144/658,656
  6. Step 6: Final answer
    x = 1,360,171.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.