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Finding the Third Proportional to 1,245,859 and 2,664,468

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Solution

The third proportional to 1,245,859 and 2,664,468 is: 5,698,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,859 : 2,664,468 = 2,664,468 : x
  2. Step 2: Convert to fraction form
    1,245,859/2,664,468 = 2,664,468/x
  3. Step 3: Cross multiply
    1,245,859x = 2,664,468 × 2,664,468
  4. Step 4: Simplify right side
    1,245,859x = 7,099,389,723,024
  5. Step 5: Solve for x
    x = 7,099,389,723,024/1,245,859
  6. Step 6: Final answer
    x = 5,698,389.40

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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.