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Finding the Third Proportional to 721,383 and 1,125,751

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Solution

The third proportional to 721,383 and 1,125,751 is: 1,756,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,383 : 1,125,751 = 1,125,751 : x
  2. Step 2: Convert to fraction form
    721,383/1,125,751 = 1,125,751/x
  3. Step 3: Cross multiply
    721,383x = 1,125,751 × 1,125,751
  4. Step 4: Simplify right side
    721,383x = 1,267,315,314,001
  5. Step 5: Solve for x
    x = 1,267,315,314,001/721,383
  6. Step 6: Final answer
    x = 1,756,785.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.