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Finding the Third Proportional to 2,145,907 and 4,660,870

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Solution

The third proportional to 2,145,907 and 4,660,870 is: 10,123,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,907 : 4,660,870 = 4,660,870 : x
  2. Step 2: Convert to fraction form
    2,145,907/4,660,870 = 4,660,870/x
  3. Step 3: Cross multiply
    2,145,907x = 4,660,870 × 4,660,870
  4. Step 4: Simplify right side
    2,145,907x = 21,723,709,156,900
  5. Step 5: Solve for x
    x = 21,723,709,156,900/2,145,907
  6. Step 6: Final answer
    x = 10,123,322.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.