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Finding the Third Proportional to 536,154 and 1,154,685

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Solution

The third proportional to 536,154 and 1,154,685 is: 2,486,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,154 : 1,154,685 = 1,154,685 : x
  2. Step 2: Convert to fraction form
    536,154/1,154,685 = 1,154,685/x
  3. Step 3: Cross multiply
    536,154x = 1,154,685 × 1,154,685
  4. Step 4: Simplify right side
    536,154x = 1,333,297,449,225
  5. Step 5: Solve for x
    x = 1,333,297,449,225/536,154
  6. Step 6: Final answer
    x = 2,486,780.76

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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.