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Finding the Third Proportional to 451,044 and 991,364

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Solution

The third proportional to 451,044 and 991,364 is: 2,178,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,044 : 991,364 = 991,364 : x
  2. Step 2: Convert to fraction form
    451,044/991,364 = 991,364/x
  3. Step 3: Cross multiply
    451,044x = 991,364 × 991,364
  4. Step 4: Simplify right side
    451,044x = 982,802,580,496
  5. Step 5: Solve for x
    x = 982,802,580,496/451,044
  6. Step 6: Final answer
    x = 2,178,950.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.