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Finding the Third Proportional to 456,399 and 993,042

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Solution

The third proportional to 456,399 and 993,042 is: 2,160,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,399 : 993,042 = 993,042 : x
  2. Step 2: Convert to fraction form
    456,399/993,042 = 993,042/x
  3. Step 3: Cross multiply
    456,399x = 993,042 × 993,042
  4. Step 4: Simplify right side
    456,399x = 986,132,413,764
  5. Step 5: Solve for x
    x = 986,132,413,764/456,399
  6. Step 6: Final answer
    x = 2,160,680.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.