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Finding the Third Proportional to 452,648 and 983,144

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Solution

The third proportional to 452,648 and 983,144 is: 2,135,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,648 : 983,144 = 983,144 : x
  2. Step 2: Convert to fraction form
    452,648/983,144 = 983,144/x
  3. Step 3: Cross multiply
    452,648x = 983,144 × 983,144
  4. Step 4: Simplify right side
    452,648x = 966,572,124,736
  5. Step 5: Solve for x
    x = 966,572,124,736/452,648
  6. Step 6: Final answer
    x = 2,135,372.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.