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Finding the Third Proportional to 452,562.19 and 976,906.69

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Solution

The third proportional to 452,562.19 and 976,906.69 is: 2,108,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,562.19 : 976,906.69 = 976,906.69 : x
  2. Step 2: Convert to fraction form
    452,562.19/976,906.69 = 976,906.69/x
  3. Step 3: Cross multiply
    452,562.19x = 976,906.69 × 976,906.69
  4. Step 4: Simplify right side
    452,562.19x = 954,346,676,082.22
  5. Step 5: Solve for x
    x = 954,346,676,082.22/452,562.19
  6. Step 6: Final answer
    x = 2,108,763.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.