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Finding the Third Proportional to 452,022 and 683,870

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Solution

The third proportional to 452,022 and 683,870 is: 1,034,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,022 : 683,870 = 683,870 : x
  2. Step 2: Convert to fraction form
    452,022/683,870 = 683,870/x
  3. Step 3: Cross multiply
    452,022x = 683,870 × 683,870
  4. Step 4: Simplify right side
    452,022x = 467,678,176,900
  5. Step 5: Solve for x
    x = 467,678,176,900/452,022
  6. Step 6: Final answer
    x = 1,034,635.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.