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Finding the Third Proportional to 452,020 and 683,867

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Solution

The third proportional to 452,020 and 683,867 is: 1,034,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,020 : 683,867 = 683,867 : x
  2. Step 2: Convert to fraction form
    452,020/683,867 = 683,867/x
  3. Step 3: Cross multiply
    452,020x = 683,867 × 683,867
  4. Step 4: Simplify right side
    452,020x = 467,674,073,689
  5. Step 5: Solve for x
    x = 467,674,073,689/452,020
  6. Step 6: Final answer
    x = 1,034,631.37

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Why These Related Problems?

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