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Finding the Third Proportional to 2,465,857 and 5,298,626

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Solution

The third proportional to 2,465,857 and 5,298,626 is: 11,385,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465,857 : 5,298,626 = 5,298,626 : x
  2. Step 2: Convert to fraction form
    2,465,857/5,298,626 = 5,298,626/x
  3. Step 3: Cross multiply
    2,465,857x = 5,298,626 × 5,298,626
  4. Step 4: Simplify right side
    2,465,857x = 28,075,437,487,876
  5. Step 5: Solve for x
    x = 28,075,437,487,876/2,465,857
  6. Step 6: Final answer
    x = 11,385,671.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.