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Finding the Third Proportional to 762,236 and 1,045,194

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Solution

The third proportional to 762,236 and 1,045,194 is: 1,433,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,236 : 1,045,194 = 1,045,194 : x
  2. Step 2: Convert to fraction form
    762,236/1,045,194 = 1,045,194/x
  3. Step 3: Cross multiply
    762,236x = 1,045,194 × 1,045,194
  4. Step 4: Simplify right side
    762,236x = 1,092,430,497,636
  5. Step 5: Solve for x
    x = 1,092,430,497,636/762,236
  6. Step 6: Final answer
    x = 1,433,191.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.