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Finding the Third Proportional to 456,004.69 and 989,890.88

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Solution

The third proportional to 456,004.69 and 989,890.88 is: 2,148,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,004.69 : 989,890.88 = 989,890.88 : x
  2. Step 2: Convert to fraction form
    456,004.69/989,890.88 = 989,890.88/x
  3. Step 3: Cross multiply
    456,004.69x = 989,890.88 × 989,890.88
  4. Step 4: Simplify right side
    456,004.69x = 979,883,944,408.27
  5. Step 5: Solve for x
    x = 979,883,944,408.27/456,004.69
  6. Step 6: Final answer
    x = 2,148,846.21

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Why These Related Problems?

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