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Finding the Third Proportional to 452,227 and 983,186

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Solution

The third proportional to 452,227 and 983,186 is: 2,137,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,227 : 983,186 = 983,186 : x
  2. Step 2: Convert to fraction form
    452,227/983,186 = 983,186/x
  3. Step 3: Cross multiply
    452,227x = 983,186 × 983,186
  4. Step 4: Simplify right side
    452,227x = 966,654,710,596
  5. Step 5: Solve for x
    x = 966,654,710,596/452,227
  6. Step 6: Final answer
    x = 2,137,543.12

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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.