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Finding the Third Proportional to 675,764 and 1,455,532

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Solution

The third proportional to 675,764 and 1,455,532 is: 3,135,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,764 : 1,455,532 = 1,455,532 : x
  2. Step 2: Convert to fraction form
    675,764/1,455,532 = 1,455,532/x
  3. Step 3: Cross multiply
    675,764x = 1,455,532 × 1,455,532
  4. Step 4: Simplify right side
    675,764x = 2,118,573,403,024
  5. Step 5: Solve for x
    x = 2,118,573,403,024/675,764
  6. Step 6: Final answer
    x = 3,135,078.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.