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Finding the Third Proportional to 676,518 and 1,455,096

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Solution

The third proportional to 676,518 and 1,455,096 is: 3,129,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,518 : 1,455,096 = 1,455,096 : x
  2. Step 2: Convert to fraction form
    676,518/1,455,096 = 1,455,096/x
  3. Step 3: Cross multiply
    676,518x = 1,455,096 × 1,455,096
  4. Step 4: Simplify right side
    676,518x = 2,117,304,369,216
  5. Step 5: Solve for x
    x = 2,117,304,369,216/676,518
  6. Step 6: Final answer
    x = 3,129,708.85

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