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Finding the Third Proportional to 675,414 and 1,027,045

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Solution

The third proportional to 675,414 and 1,027,045 is: 1,561,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,414 : 1,027,045 = 1,027,045 : x
  2. Step 2: Convert to fraction form
    675,414/1,027,045 = 1,027,045/x
  3. Step 3: Cross multiply
    675,414x = 1,027,045 × 1,027,045
  4. Step 4: Simplify right side
    675,414x = 1,054,821,432,025
  5. Step 5: Solve for x
    x = 1,054,821,432,025/675,414
  6. Step 6: Final answer
    x = 1,561,740.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.