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Finding the Third Proportional to 2,137,870 and 4,452,644

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Solution

The third proportional to 2,137,870 and 4,452,644 is: 9,273,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,870 : 4,452,644 = 4,452,644 : x
  2. Step 2: Convert to fraction form
    2,137,870/4,452,644 = 4,452,644/x
  3. Step 3: Cross multiply
    2,137,870x = 4,452,644 × 4,452,644
  4. Step 4: Simplify right side
    2,137,870x = 19,826,038,590,736
  5. Step 5: Solve for x
    x = 19,826,038,590,736/2,137,870
  6. Step 6: Final answer
    x = 9,273,734.41

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.