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Finding the Third Proportional to 1,135,746 and 2,429,078

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Solution

The third proportional to 1,135,746 and 2,429,078 is: 5,195,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,746 : 2,429,078 = 2,429,078 : x
  2. Step 2: Convert to fraction form
    1,135,746/2,429,078 = 2,429,078/x
  3. Step 3: Cross multiply
    1,135,746x = 2,429,078 × 2,429,078
  4. Step 4: Simplify right side
    1,135,746x = 5,900,419,930,084
  5. Step 5: Solve for x
    x = 5,900,419,930,084/1,135,746
  6. Step 6: Final answer
    x = 5,195,193.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.