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Finding the Third Proportional to 675,977.63 and 1,052,765.44

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Solution

The third proportional to 675,977.63 and 1,052,765.44 is: 1,639,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,977.63 : 1,052,765.44 = 1,052,765.44 : x
  2. Step 2: Convert to fraction form
    675,977.63/1,052,765.44 = 1,052,765.44/x
  3. Step 3: Cross multiply
    675,977.63x = 1,052,765.44 × 1,052,765.44
  4. Step 4: Simplify right side
    675,977.63x = 1,108,315,066,394.57
  5. Step 5: Solve for x
    x = 1,108,315,066,394.57/675,977.63
  6. Step 6: Final answer
    x = 1,639,573.60

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Why These Related Problems?

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