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Finding the Third Proportional to 700,751 and 1,082,649

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Solution

The third proportional to 700,751 and 1,082,649 is: 1,672,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,751 : 1,082,649 = 1,082,649 : x
  2. Step 2: Convert to fraction form
    700,751/1,082,649 = 1,082,649/x
  3. Step 3: Cross multiply
    700,751x = 1,082,649 × 1,082,649
  4. Step 4: Simplify right side
    700,751x = 1,172,128,857,201
  5. Step 5: Solve for x
    x = 1,172,128,857,201/700,751
  6. Step 6: Final answer
    x = 1,672,675.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.