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Finding the Third Proportional to 449,270.93 and 967,046.98

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Solution

The third proportional to 449,270.93 and 967,046.98 is: 2,081,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,270.93 : 967,046.98 = 967,046.98 : x
  2. Step 2: Convert to fraction form
    449,270.93/967,046.98 = 967,046.98/x
  3. Step 3: Cross multiply
    449,270.93x = 967,046.98 × 967,046.98
  4. Step 4: Simplify right side
    449,270.93x = 935,179,854,878.67
  5. Step 5: Solve for x
    x = 935,179,854,878.67/449,270.93
  6. Step 6: Final answer
    x = 2,081,549.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.