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Finding the Third Proportional to 651,705 and 996,949

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Solution

The third proportional to 651,705 and 996,949 is: 1,525,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,705 : 996,949 = 996,949 : x
  2. Step 2: Convert to fraction form
    651,705/996,949 = 996,949/x
  3. Step 3: Cross multiply
    651,705x = 996,949 × 996,949
  4. Step 4: Simplify right side
    651,705x = 993,907,308,601
  5. Step 5: Solve for x
    x = 993,907,308,601/651,705
  6. Step 6: Final answer
    x = 1,525,087.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.