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Finding the Third Proportional to 1,213,854 and 2,463,589.50

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Solution

The third proportional to 1,213,854 and 2,463,589.50 is: 5,000,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,854 : 2,463,589.50 = 2,463,589.50 : x
  2. Step 2: Convert to fraction form
    1,213,854/2,463,589.50 = 2,463,589.50/x
  3. Step 3: Cross multiply
    1,213,854x = 2,463,589.50 × 2,463,589.50
  4. Step 4: Simplify right side
    1,213,854x = 6,069,273,224,510.25
  5. Step 5: Solve for x
    x = 6,069,273,224,510.25/1,213,854
  6. Step 6: Final answer
    x = 5,000,002.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.