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Finding the Third Proportional to 927,342 and 1,954,314

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Solution

The third proportional to 927,342 and 1,954,314 is: 4,118,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,342 : 1,954,314 = 1,954,314 : x
  2. Step 2: Convert to fraction form
    927,342/1,954,314 = 1,954,314/x
  3. Step 3: Cross multiply
    927,342x = 1,954,314 × 1,954,314
  4. Step 4: Simplify right side
    927,342x = 3,819,343,210,596
  5. Step 5: Solve for x
    x = 3,819,343,210,596/927,342
  6. Step 6: Final answer
    x = 4,118,591.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.