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Finding the Third Proportional to 452,225 and 983,182

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Solution

The third proportional to 452,225 and 983,182 is: 2,137,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,225 : 983,182 = 983,182 : x
  2. Step 2: Convert to fraction form
    452,225/983,182 = 983,182/x
  3. Step 3: Cross multiply
    452,225x = 983,182 × 983,182
  4. Step 4: Simplify right side
    452,225x = 966,646,845,124
  5. Step 5: Solve for x
    x = 966,646,845,124/452,225
  6. Step 6: Final answer
    x = 2,137,535.18

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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.