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Finding the Third Proportional to 676,512 and 1,455,084

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Solution

The third proportional to 676,512 and 1,455,084 is: 3,129,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,512 : 1,455,084 = 1,455,084 : x
  2. Step 2: Convert to fraction form
    676,512/1,455,084 = 1,455,084/x
  3. Step 3: Cross multiply
    676,512x = 1,455,084 × 1,455,084
  4. Step 4: Simplify right side
    676,512x = 2,117,269,447,056
  5. Step 5: Solve for x
    x = 2,117,269,447,056/676,512
  6. Step 6: Final answer
    x = 3,129,684.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.