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Finding the Third Proportional to 527,256 and 1,150,740

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Solution

The third proportional to 527,256 and 1,150,740 is: 2,511,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,256 : 1,150,740 = 1,150,740 : x
  2. Step 2: Convert to fraction form
    527,256/1,150,740 = 1,150,740/x
  3. Step 3: Cross multiply
    527,256x = 1,150,740 × 1,150,740
  4. Step 4: Simplify right side
    527,256x = 1,324,202,547,600
  5. Step 5: Solve for x
    x = 1,324,202,547,600/527,256
  6. Step 6: Final answer
    x = 2,511,498.30

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