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Finding the Third Proportional to 453,374 and 988,148

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Solution

The third proportional to 453,374 and 988,148 is: 2,153,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,374 : 988,148 = 988,148 : x
  2. Step 2: Convert to fraction form
    453,374/988,148 = 988,148/x
  3. Step 3: Cross multiply
    453,374x = 988,148 × 988,148
  4. Step 4: Simplify right side
    453,374x = 976,436,469,904
  5. Step 5: Solve for x
    x = 976,436,469,904/453,374
  6. Step 6: Final answer
    x = 2,153,710.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.