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Finding the Third Proportional to 452,922 and 991,035

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Solution

The third proportional to 452,922 and 991,035 is: 2,168,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,922 : 991,035 = 991,035 : x
  2. Step 2: Convert to fraction form
    452,922/991,035 = 991,035/x
  3. Step 3: Cross multiply
    452,922x = 991,035 × 991,035
  4. Step 4: Simplify right side
    452,922x = 982,150,371,225
  5. Step 5: Solve for x
    x = 982,150,371,225/452,922
  6. Step 6: Final answer
    x = 2,168,475.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.