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Finding the Third Proportional to 431,611 and 898,385

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Solution

The third proportional to 431,611 and 898,385 is: 1,869,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,611 : 898,385 = 898,385 : x
  2. Step 2: Convert to fraction form
    431,611/898,385 = 898,385/x
  3. Step 3: Cross multiply
    431,611x = 898,385 × 898,385
  4. Step 4: Simplify right side
    431,611x = 807,095,608,225
  5. Step 5: Solve for x
    x = 807,095,608,225/431,611
  6. Step 6: Final answer
    x = 1,869,960.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.