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Finding the Third Proportional to 1,427,792 and 3,116,034

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Solution

The third proportional to 1,427,792 and 3,116,034 is: 6,800,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,792 : 3,116,034 = 3,116,034 : x
  2. Step 2: Convert to fraction form
    1,427,792/3,116,034 = 3,116,034/x
  3. Step 3: Cross multiply
    1,427,792x = 3,116,034 × 3,116,034
  4. Step 4: Simplify right side
    1,427,792x = 9,709,667,889,156
  5. Step 5: Solve for x
    x = 9,709,667,889,156/1,427,792
  6. Step 6: Final answer
    x = 6,800,477.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.