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Finding the Third Proportional to 905,382 and 1,966,524

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Solution

The third proportional to 905,382 and 1,966,524 is: 4,271,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,382 : 1,966,524 = 1,966,524 : x
  2. Step 2: Convert to fraction form
    905,382/1,966,524 = 1,966,524/x
  3. Step 3: Cross multiply
    905,382x = 1,966,524 × 1,966,524
  4. Step 4: Simplify right side
    905,382x = 3,867,216,642,576
  5. Step 5: Solve for x
    x = 3,867,216,642,576/905,382
  6. Step 6: Final answer
    x = 4,271,364.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.