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Finding the Third Proportional to 999,496.44 and 1,461,759.54

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Solution

The third proportional to 999,496.44 and 1,461,759.54 is: 2,137,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,496.44 : 1,461,759.54 = 1,461,759.54 : x
  2. Step 2: Convert to fraction form
    999,496.44/1,461,759.54 = 1,461,759.54/x
  3. Step 3: Cross multiply
    999,496.44x = 1,461,759.54 × 1,461,759.54
  4. Step 4: Simplify right side
    999,496.44x = 2,136,740,950,040.21
  5. Step 5: Solve for x
    x = 2,136,740,950,040.21/999,496.44
  6. Step 6: Final answer
    x = 2,137,817.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.