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Finding the Third Proportional to 1,382,427 and 1,976,872.50

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Solution

The third proportional to 1,382,427 and 1,976,872.50 is: 2,826,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,427 : 1,976,872.50 = 1,976,872.50 : x
  2. Step 2: Convert to fraction form
    1,382,427/1,976,872.50 = 1,976,872.50/x
  3. Step 3: Cross multiply
    1,382,427x = 1,976,872.50 × 1,976,872.50
  4. Step 4: Simplify right side
    1,382,427x = 3,908,024,881,256.25
  5. Step 5: Solve for x
    x = 3,908,024,881,256.25/1,382,427
  6. Step 6: Final answer
    x = 2,826,930.38

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.