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Finding the Third Proportional to 1,012,382 and 1,424,043

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Solution

The third proportional to 1,012,382 and 1,424,043 is: 2,003,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,382 : 1,424,043 = 1,424,043 : x
  2. Step 2: Convert to fraction form
    1,012,382/1,424,043 = 1,424,043/x
  3. Step 3: Cross multiply
    1,012,382x = 1,424,043 × 1,424,043
  4. Step 4: Simplify right side
    1,012,382x = 2,027,898,465,849
  5. Step 5: Solve for x
    x = 2,027,898,465,849/1,012,382
  6. Step 6: Final answer
    x = 2,003,096.13

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.