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Finding the Third Proportional to 1,432,884 and 1,947,020

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Solution

The third proportional to 1,432,884 and 1,947,020 is: 2,645,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,884 : 1,947,020 = 1,947,020 : x
  2. Step 2: Convert to fraction form
    1,432,884/1,947,020 = 1,947,020/x
  3. Step 3: Cross multiply
    1,432,884x = 1,947,020 × 1,947,020
  4. Step 4: Simplify right side
    1,432,884x = 3,790,886,880,400
  5. Step 5: Solve for x
    x = 3,790,886,880,400/1,432,884
  6. Step 6: Final answer
    x = 2,645,634.18

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.